Roshel had some money. She spent 40% on food and 20% of her remaining money on a jumpsuit. She had $84 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 Roshel's amount left after she spent on food
= 100% - 40%
= 60%
Percent of Roshel's remaining amount left after she spent on the jumpsuit
= 100% - 20%
= 80%
Fraction of Roshel's amount left
= 80% x 60%
=
80100 x
60100=
1225Total amount that Roshel had = 25 u
Amount that Roshel had left = 12 u
12 u = 84
1 u = 84 ÷ 12 = 7
Amount that Roshel had at first
= 25 u
= 25 x 7
= $175
(b)
Fraction of Roshel's amount spent on the jumpsuit
= 20% x 60%
=
20100 x
60100 =
325Amount that Roshel spent on the jumpsuit
= 3 u
= 3 x 7
= $21
Discounted price of the jumpsuit in percent
= 100% - 40%
= 60%
60% of the price of the jumpsuit = 21
1% of the price of the jumpsuit = 21 ÷ 60 = 0.35
100% of the price of the jumpsuit = 100 x 0.35 = 35
Original price of the jumpsuit = $35
Answer(s): (a) $175; (b) $35