Ivory had some money. She spent 25% on books and 10% of her remaining money on a jumpsuit. She had $81 left.
- How much did she have at first?
- If the jumpsuit was bought at a 40% discount, what was the original price of the jumpsuit?
(a)
Percent of Ivory's amount left after she spent on books
= 100% - 25%
= 75%
Percent of Ivory's remaining amount left after she spent on the jumpsuit
= 100% - 10%
= 90%
Fraction of Ivory's amount left
= 90% x 75%
=
90100 x
75100=
2740Total amount that Ivory had = 40 u
Amount that Ivory had left = 27 u
27 u = 81
1 u = 81 ÷ 27 = 3
Amount that Ivory had at first
= 40 u
= 40 x 3
= $120
(b)
Fraction of Ivory's amount spent on the jumpsuit
= 10% x 75%
=
10100 x
75100 =
340Amount that Ivory spent on the jumpsuit
= 3 u
= 3 x 3
= $9
Discounted price of the jumpsuit in percent
= 100% - 40%
= 60%
60% of the price of the jumpsuit = 9
1% of the price of the jumpsuit = 9 ÷ 60 = 0.15
100% of the price of the jumpsuit = 100 x 0.15 = 15
Original price of the jumpsuit = $15
Answer(s): (a) $120; (b) $15