Julie had some money. She spent 25% on books and 30% of her remaining money on a jacket. She had $273 left.
- How much did she have at first?
- If the jacket was bought at a 25% discount, what was the original price of the jacket?
(a)
Percent of Julie's amount left after she spent on books
= 100% - 25%
= 75%
Percent of Julie's remaining amount left after she spent on the jacket
= 100% - 30%
= 70%
Fraction of Julie's amount left
= 70% x 75%
=
70100 x
75100=
2140Total amount that Julie had = 40 u
Amount that Julie had left = 21 u
21 u = 273
1 u = 273 ÷ 21 = 13
Amount that Julie had at first
= 40 u
= 40 x 13
= $520
(b)
Fraction of Julie's amount spent on the jacket
= 30% x 75%
=
30100 x
75100 =
940Amount that Julie spent on the jacket
= 9 u
= 9 x 13
= $117
Discounted price of the jacket in percent
= 100% - 25%
= 75%
75% of the price of the jacket = 117
1% of the price of the jacket = 117 ÷ 75 = 1.56
100% of the price of the jacket = 100 x 1.56 = 156
Original price of the jacket = $156
Answer(s): (a) $520; (b) $156