Opal had some money. She spent 25% on rent and 30% of her remaining money on a jumpsuit. She had $42 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 Opal's amount left after she spent on rent
= 100% - 25%
= 75%
Percent of Opal's remaining amount left after she spent on the jumpsuit
= 100% - 30%
= 70%
Fraction of Opal's amount left
= 70% x 75%
=
70100 x
75100=
2140Total amount that Opal had = 40 u
Amount that Opal had left = 21 u
21 u = 42
1 u = 42 ÷ 21 = 2
Amount that Opal had at first
= 40 u
= 40 x 2
= $80
(b)
Fraction of Opal's amount spent on the jumpsuit
= 30% x 75%
=
30100 x
75100 =
940Amount that Opal spent on the jumpsuit
= 9 u
= 9 x 2
= $18
Discounted price of the jumpsuit in percent
= 100% - 40%
= 60%
60% of the price of the jumpsuit = 18
1% of the price of the jumpsuit = 18 ÷ 60 = 0.3
100% of the price of the jumpsuit = 100 x 0.3 = 30
Original price of the jumpsuit = $30
Answer(s): (a) $80; (b) $30