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Rachel used 3/8 of her money to buy some blouses and 2/5 of the remainder to buy 2 pair of pants. A pair of pants costs 3 times as much as a blouse. How many blouses did she buy?

1 Answer

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The answer is: 9 blouses.

The explanation is shown below:

1. The remainder is:


1-(3)/(8)=(5)/(8)

2. She used
(2)/(5) of the remainder to buy 2 pair of pants:


((5)/(8))((2)/(5))=(1)/(4)

3. Then, she used
(1)/(4) of the money to buy 2 pairs of pants. For each one she used:


(1)/(4)÷
2=
(1)/(8) of the money for a pair of pants.

4. A pair of pants costs 3 times as much as a blouse, therefore you can write the following expression:


(1)/(8)=3x

Where
x is the cost of 1 blouse

5. Solve for
x:


x=(1)/(24) for each blouse

6. If she used
(1)/(24) of the money for 1 blouse, you have the following amount of blouses bought with
(3)/(8) of the money:


y=((3)/(8))/((1)/(24))=9

Where
y is the total number of blouses.

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