how blouses did racheal buy?

Question

racheal use 3/8 of her money to buy some blouses and 2/5 of the remainder to buy 2 pairs of pants. a pair of pant costs 3 times as much as a blouse. how blouses did racheal buy

Answer 1

 

Make; x = amount $ racheal started with

 

racheal use 3/8 of her money to buy some blouses

Amount spent on blouses:

(3/8) * x = 3x/8  

 

2/5 of the remainder to buy 2 pairs of pants. The remainder is what's left after buying the blouses. You can write the amount $ racheal started with as: x = 8x/8

because 8/8 = 1 , we just need a common denominator for addition/subtraction

 

Money left after blouses:

8x/8 - 3x/8 = 5x/8

 

2/5 of this remainder:

 

(2/5) * 5x/8 = 10x/40

= x/4

 

x/4  = cost of 2 pairs pants

The cost of one pair is half this amount

(1/2) * x/4 = x/8

 

a pair of pant costs 3 times as much as a blouse.

Remember that all the blouses cost 3x/8

Let's make " y " number of blouses

Then; 3x/8 * (1/y) = 3x/(8y) 

gives the cost of one blouse

 

x/8 =  3 * 3x/(8y)

 

x/8 = 9x/(8y)

 

divide x's out

 

1/8 = 9/(8y)

 

8y/8 = 9

 

y = 9 blouses