Xuan had some money. She spent 20% on books and 30% of her remaining money on a jacket. She had $182 left.
- How much did she have at first?
- If the jacket was bought at a 40% discount, what was the original price of the jacket?
(a)
Percent of Xuan's amount left after she spent on books
= 100% - 20%
= 80%
Percent of Xuan's remaining amount left after she spent on the jacket
= 100% - 30%
= 70%
Fraction of Xuan's amount left
= 70% x 80%
=
70100 x
80100=
1425Total amount that Xuan had = 25 u
Amount that Xuan had left = 14 u
14 u = 182
1 u = 182 ÷ 14 = 13
Amount that Xuan had at first
= 25 u
= 25 x 13
= $325
(b)
Fraction of Xuan's amount spent on the jacket
= 30% x 80%
=
30100 x
80100 =
625Amount that Xuan spent on the jacket
= 6 u
= 6 x 13
= $78
Discounted price of the jacket in percent
= 100% - 40%
= 60%
60% of the price of the jacket = 78
1% of the price of the jacket = 78 ÷ 60 = 1.3
100% of the price of the jacket = 100 x 1.3 = 130
Original price of the jacket = $130
Answer(s): (a) $325; (b) $130