Penelope had some money. She spent 25% on rent and 30% of her remaining money on a jumpsuit. She had $147 left.
- How much did she have at first?
- If the jumpsuit was bought at a 10% discount, what was the original price of the jumpsuit?
(a)
Percent of Penelope's amount left after she spent on rent
= 100% - 25%
= 75%
Percent of Penelope's remaining amount left after she spent on the jumpsuit
= 100% - 30%
= 70%
Fraction of Penelope's amount left
= 70% x 75%
=
70100 x
75100=
2140Total amount that Penelope had = 40 u
Amount that Penelope had left = 21 u
21 u = 147
1 u = 147 ÷ 21 = 7
Amount that Penelope had at first
= 40 u
= 40 x 7
= $280
(b)
Fraction of Penelope's amount spent on the jumpsuit
= 30% x 75%
=
30100 x
75100 =
940Amount that Penelope spent on the jumpsuit
= 9 u
= 9 x 7
= $63
Discounted price of the jumpsuit in percent
= 100% - 10%
= 90%
90% of the price of the jumpsuit = 63
1% of the price of the jumpsuit = 63 ÷ 90 = 0.7
100% of the price of the jumpsuit = 100 x 0.7 = 70
Original price of the jumpsuit = $70
Answer(s): (a) $280; (b) $70