Mary had some money. She spent 40% on rent and 30% of her remaining money on a windbreaker. She had $252 left.
- How much did she have at first?
- If the windbreaker was bought at a 40% discount, what was the original price of the windbreaker?
(a)
Percent of Mary's amount left after she spent on rent
= 100% - 40%
= 60%
Percent of Mary's remaining amount left after she spent on the windbreaker
= 100% - 30%
= 70%
Fraction of Mary's amount left
= 70% x 60%
=
70100 x
60100=
2150Total amount that Mary had = 50 u
Amount that Mary had left = 21 u
21 u = 252
1 u = 252 ÷ 21 = 12
Amount that Mary had at first
= 50 u
= 50 x 12
= $600
(b)
Fraction of Mary's amount spent on the windbreaker
= 30% x 60%
=
30100 x
60100 =
950Amount that Mary spent on the windbreaker
= 9 u
= 9 x 12
= $108
Discounted price of the windbreaker in percent
= 100% - 40%
= 60%
60% of the price of the windbreaker = 108
1% of the price of the windbreaker = 108 ÷ 60 = 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