Pre-AlgebraPre-Algebra

During the intermission of the play, the Theater Club sold cups

of popcorn and soda. The club sold 79 cups of popcorn and 96 sodas for

a total of $271. What was the selling price of a cup of popcorn? Of a

soda?

Problem Solving Strategy: Guess, Check, ReviseProblem Solving Strategy: Guess, Check, Revise

Lesson 2-7

You can organize conjectures in a table. As a first conjecture, try both with a price of $1.

Additional Examples

Pre-AlgebraPre-Algebra

(continued)

Problem Solving Strategy: Guess, Check, ReviseProblem Solving Strategy: Guess, Check, Revise

Lesson 2-7

Popcorn SodaPrice Price Total Price

$1 $1 79(1) + 96(1) = 79 + 96 The total is too low. Increase = 175 the price of the popcorn only.

$2 $1 79(2) + 96(1) = 158 + 96 The total is too low. = 254 Increase the price of the soda.

$2 $2 79(2) + 96(2) = 158 + 192 The total is too high. = 350 Decrease the price of the popcorn.

$1 $2 79(1) + 96(2) = 79 + 192 The total is correct. = 271

The popcorn price was $1, and the soda price was $2.

Additional Examples

Pre-AlgebraPre-Algebra

Problem Solving Strategy: Guess, Check, ReviseProblem Solving Strategy: Guess, Check, Revise

Lesson 2-7

Solve using any strategy.

1. A sporting goods store manager ordered twice as many pairs of basketball shoes as tennis shoes. He ordered 96 pairs in all. How many pairs of each did he order?

2. Manuel wrote a 512-word paper over the weekend. He wrote 180 more words on Sunday than he did on Saturday. How many words

did he write on Saturday?166

32 pairs of tennis shoes; 64 pairs of basketball shoes

Lesson Quiz