Jen had some money. She spent 10% on rent and 25% 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 25% discount, what was the original price of the jumpsuit?
(a)
Percent of Jen's amount left after she spent on rent
= 100% - 10%
= 90%
Percent of Jen's remaining amount left after she spent on the jumpsuit
= 100% - 25%
= 75%
Fraction of Jen's amount left
= 75% x 90%
=
75100 x
90100=
2740Total amount that Jen had = 40 u
Amount that Jen had left = 27 u
27 u = 81
1 u = 81 ÷ 27 = 3
Amount that Jen had at first
= 40 u
= 40 x 3
= $120
(b)
Fraction of Jen's amount spent on the jumpsuit
= 25% x 90%
=
25100 x
90100 =
940Amount that Jen spent on the jumpsuit
= 9 u
= 9 x 3
= $27
Discounted price of the jumpsuit in percent
= 100% - 25%
= 75%
75% of the price of the jumpsuit = 27
1% of the price of the jumpsuit = 27 ÷ 75 = 0.36
100% of the price of the jumpsuit = 100 x 0.36 = 36
Original price of the jumpsuit = $36
Answer(s): (a) $120; (b) $36