Emma had some money. She spent 25% on rent and 30% of her remaining money on a windbreaker. She had $315 left.
- How much did she have at first?
- If the windbreaker was bought at a 25% discount, what was the original price of the windbreaker?
(a)
Percent of Emma's amount left after she spent on rent
= 100% - 25%
= 75%
Percent of Emma's remaining amount left after she spent on the windbreaker
= 100% - 30%
= 70%
Fraction of Emma's amount left
= 70% x 75%
=
70100 x
75100=
2140Total amount that Emma had = 40 u
Amount that Emma had left = 21 u
21 u = 315
1 u = 315 ÷ 21 = 15
Amount that Emma had at first
= 40 u
= 40 x 15
= $600
(b)
Fraction of Emma's amount spent on the windbreaker
= 30% x 75%
=
30100 x
75100 =
940Amount that Emma spent on the windbreaker
= 9 u
= 9 x 15
= $135
Discounted price of the windbreaker in percent
= 100% - 25%
= 75%
75% of the price of the windbreaker = 135
1% of the price of the windbreaker = 135 ÷ 75 = 1.8
100% of the price of the windbreaker = 100 x 1.8 = 180
Original price of the windbreaker = $180
Answer(s): (a) $600; (b) $180