MULTI-STEP RATIO PROBLEMS

METHODS FOR SOLVING FRACTION OFF SALES PROBLEMS:

•Method 1: Draw a tape diagram.

•Method 2: Subtract the fraction of the price from the original price.

•Method 3: Find the fractional part of the price being paid by subtracting the fraction of the price from 1 whole.

EXAMPLE:

•A store advertises its end of the season sale with shoes at ¼ off the original price (called the discount rate).

•a) If the original price of the shoes is $40, and they are advertised as ¼ off, what is the sale price?

METHOD 1

•Tape Diagram

• $40

•¼ off the original price is: 10 + 10 +10 = $30

$10 $10 $10 $10

METHOD 2

•Subtract ¼ of the price from the original price.

•$40 – 1 (40) • 4•= 40 – 10•= $30

METHOD 3• Find the fractional part of the price being paid by subtracting ¼ of the price from 1 whole.

• (1 - 1 ) 40 • 4

•= 3 . 40• 4• •= $30