Nicole had some money. She spent 40% on books and 20% of her remaining money on a blouse. She had $36 left.
- How much did she have at first?
- If the blouse was bought at a 40% discount, what was the original price of the blouse?
(a)
Percent of Nicole's amount left after she spent on books
= 100% - 40%
= 60%
Percent of Nicole's remaining amount left after she spent on the blouse
= 100% - 20%
= 80%
Fraction of Nicole's amount left
= 80% x 60%
=
80100 x
60100=
1225Total amount that Nicole had = 25 u
Amount that Nicole had left = 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Amount that Nicole had at first
= 25 u
= 25 x 3
= $75
(b)
Fraction of Nicole's amount spent on the blouse
= 20% x 60%
=
20100 x
60100 =
325Amount that Nicole spent on the blouse
= 3 u
= 3 x 3
= $9
Discounted price of the blouse in percent
= 100% - 40%
= 60%
60% of the price of the blouse = 9
1% of the price of the blouse = 9 ÷ 60 = 0.15
100% of the price of the blouse = 100 x 0.15 = 15
Original price of the blouse = $15
Answer(s): (a) $75; (b) $15