Question

Cheryl used 40% of her money to buy a dress and 1/5 of the remainder to buy a pair of shoes. She then donated $60 to charity and had $132 left How much money did Cheryl have at first?

Answer 1

Let the amount of money she has at first be x.

Dress = 40% x = 0.4x

Amount left = x - 0.4x = 0.6x

Shoes = 1/5 x 0.6x = 0.12x

Amount left = 0.6x - 0.12x = 0.48x

Donated $60 and had $132 left:
⇒ 0.48x - 60 = 132

Solve x:

0.48x - 60 = 132

0.48x = 192

x = $400


Answer: $400

Answer 2

Let the amount be a
Amount used for dress= 40% of a
amount left =60% of a
amount used for shoe= 1/5*60a/100=3a/25
left=60a/100-12a/100=48a/100
=>48a/100-60=132
=>a=192*100/49=400
She had $400 at first.
Hope I helped, good luck.