Cindy had some money. She spent 30% on food and 25% of her remaining money on a coat. She had $252 left.
- How much did she have at first?
- If the coat was bought at a 40% discount, what was the original price of the coat?
(a)
Percent of Cindy's amount left after she spent on food
= 100% - 30%
= 70%
Percent of Cindy's remaining amount left after she spent on the coat
= 100% - 25%
= 75%
Fraction of Cindy's amount left
= 75% x 70%
=
75100 x
70100=
2140Total amount that Cindy had = 40 u
Amount that Cindy had left = 21 u
21 u = 252
1 u = 252 ÷ 21 = 12
Amount that Cindy had at first
= 40 u
= 40 x 12
= $480
(b)
Fraction of Cindy's amount spent on the coat
= 25% x 70%
=
25100 x
70100 =
740Amount that Cindy spent on the coat
= 7 u
= 7 x 12
= $84
Discounted price of the coat in percent
= 100% - 40%
= 60%
60% of the price of the coat = 84
1% of the price of the coat = 84 ÷ 60 = 1.4
100% of the price of the coat = 100 x 1.4 = 140
Original price of the coat = $140
Answer(s): (a) $480; (b) $140