Erika had some money. She spent 30% on rent and 25% of her remaining money on a jumpsuit. She had $168 left.
- How much did she have at first?
- If the jumpsuit was bought at a 20% discount, what was the original price of the jumpsuit?
(a)
Percent of Erika's amount left after she spent on rent
= 100% - 30%
= 70%
Percent of Erika's remaining amount left after she spent on the jumpsuit
= 100% - 25%
= 75%
Fraction of Erika's amount left
= 75% x 70%
=
75100 x
70100=
2140Total amount that Erika had = 40 u
Amount that Erika had left = 21 u
21 u = 168
1 u = 168 ÷ 21 = 8
Amount that Erika had at first
= 40 u
= 40 x 8
= $320
(b)
Fraction of Erika's amount spent on the jumpsuit
= 25% x 70%
=
25100 x
70100 =
740Amount that Erika spent on the jumpsuit
= 7 u
= 7 x 8
= $56
Discounted price of the jumpsuit in percent
= 100% - 20%
= 80%
80% of the price of the jumpsuit = 56
1% of the price of the jumpsuit = 56 ÷ 80 = 0.7
100% of the price of the jumpsuit = 100 x 0.7 = 70
Original price of the jumpsuit = $70
Answer(s): (a) $320; (b) $70