Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of...

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example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and the other is an 8% concentration. How many cubic centimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution? 2009 PBLPathways

Transcript of Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of...

Page 1: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

example 8 Medication

Chapter 2.3

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

2009 PBLPathways

Page 2: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

2009 PBLPathways

Page 3: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

1 liter of 0% orange juice

1 liter of 100% orange juice

+ =

2 liters of 50% orange juice

Page 4: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

1 liter of 0% orange juice

1 liter of 100% orange juice

+ =

2 liters of 50% orange juice

Page 5: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

1 liter of 0% orange juice

1 liter of 100% orange juice

+ =

2 liters of 50% orange juice

?

Page 6: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

1 liter of 0% orange juice

1 liter of 100% orange juice

+ =

2 liters of 50% orange juice 2 liters of ?% orange juice

Page 7: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

1 liter of 0% orange juice

1 liter of 100% orange juice

+ =

2 liters of 50% orange juice

Page 8: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

? of 12% concentration

medicine

? of 8% concentration

medicine

20 cc of 9% concentration

medicine

Page 9: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

? of 12% concentration

medicine

? of 8% concentration

medicine

20 cc of 9% concentration

medicine

Page 10: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

? of 12% concentration

medicine

? of 8% concentration

medicine

20 cc of 9% concentration

medicine

Page 11: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

? of 12% concentration

medicine

? of 8% concentration

medicine

20 cc of 9% concentration

medicine

Page 12: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

x cc of 12% concentration

medicine

y cc of 8% concentration

medicine

20 cc of 9% concentration

medicine

Page 13: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

x cc of 12% concentration

medicine

y cc of 8% concentration

medicine

20 cc of 9% concentration

medicine 20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y 12% of x is

pure medicine8% of y is

pure medicine9% of 20 cc is pure medicine

Page 14: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

x cc of 12% concentration

medicine

y cc of 8% concentration

medicine

20 cc of 9% concentration

medicine 20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y 12% of x is

pure medicine8% of y is

pure medicine9% of 20 cc is pure medicine

Page 15: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

x cc of 12% concentration

medicine

y cc of 8% concentration

medicine

20 cc of 9% concentration

medicine 20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y 12% of x is

pure medicine8% of y is

pure medicine9% of 20 cc is pure medicine

Page 16: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

x cc of 12% concentration

medicine

y cc of 8% concentration

medicine

20 cc of 9% concentration

medicine 20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y 12% of x is

pure medicine8% of y is

pure medicine9% of 20 cc is pure medicine

Page 17: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

x cc of 12% concentration

medicine

y cc of 8% concentration

medicine

20 cc of 9% concentration

medicine 20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y 12% of x is

pure medicine8% of y is

pure medicine9% of 20 cc is pure medicine

Page 18: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y

Page 19: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y

20y x

.12 .08 20 1.8

.12 .08 20 .08 1.8

.12 1.6 .08 1.8

.04 1.6 1.8

.04 0.2

5

15

x x

x x

x x

x

x

x

y

Page 20: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y

20y x

.12 .08 20 1.8

.12 .08 20 .08 1.8

.12 1.6 .08 1.8

.04 1.6 1.8

.04 0.2

5

15

x x

x x

x x

x

x

x

y

Page 21: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y

20y x

.12 .08 20 1.8

.12 .08 20 .08 1.8

.12 1.6 .08 1.8

.04 1.6 1.8

.04 0.2

5

15

x x

x x

x x

x

x

x

y

Page 22: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y

20y x

.12 .08 20 1.8

.12 .08 20 .08 1.8

.12 1.6 .08 1.8

.04 1.6 1.8

.04 0.2

5

15

x x

x x

x x

x

x

x

y

Page 23: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y

20y x

.12 .08 20 1.8

.12 .08 20 .08 1.8

.12 1.6 .08 1.8

.04 1.6 1.8

.04 0.2

5

15

x x

x x

x x

x

x

x

y

Page 24: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y

20y x

.12 .08 20 1.8

.12 .08 20 .08 1.8

.12 1.6 .08 1.8

.04 1.6 1.8

.04 0.2

5

15

x x

x x

x x

x

x

x

y

Page 25: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

20x y

Amount of medicine

Amount of pure medicine

.12 .08 1.8x y

20y x

.12 .08 20 1.8

.12 .08 20 .08 1.8

.12 1.6 .08 1.8

.04 1.6 1.8

.04 0.2

5

15

x x

x x

x x

x

x

x

y

Page 26: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

5 cc of 12% concentration

medicine

15 of 8% concentration

medicine

20 cc of 9% concentration

medicine

.6 cc is pure medicine

1.2 cc is pure medicine

1.8 cc is pure medicine

Page 27: Example 8 Medication Chapter 2.3 A nurse has two solutions that contain different concentrations of a certain medication. One is a 12% concentration, and.

A nurse has two solutions that contain different concentrations of a certain medication.One is a 12% concentration, and the other is an 8% concentration. How many cubiccentimeters (cc) of each should she mix together to obtain 20 cc of a 9% solution?

+ =

5 cc of 12% concentration

medicine

15 of 8% concentration

medicine

20 cc of 9% concentration

medicine

.6 cc is pure medicine

1.2 cc is pure medicine

1.8 cc is pure medicine