Jane had some money. She spent 25% on food and 30% of her remaining money on a dress. She had $42 left.
- How much did she have at first?
- If the dress was bought at a 25% discount, what was the original price of the dress?
(a)
Percent of Jane's amount left after she spent on food
= 100% - 25%
= 75%
Percent of Jane's remaining amount left after she spent on the dress
= 100% - 30%
= 70%
Fraction of Jane's amount left
= 70% x 75%
=
70100 x
75100=
2140Total amount that Jane had = 40 u
Amount that Jane had left = 21 u
21 u = 42
1 u = 42 ÷ 21 = 2
Amount that Jane had at first
= 40 u
= 40 x 2
= $80
(b)
Fraction of Jane's amount spent on the dress
= 30% x 75%
=
30100 x
75100 =
940Amount that Jane spent on the dress
= 9 u
= 9 x 2
= $18
Discounted price of the dress in percent
= 100% - 25%
= 75%
75% of the price of the dress = 18
1% of the price of the dress = 18 ÷ 75 = 0.24
100% of the price of the dress = 100 x 0.24 = 24
Original price of the dress = $24
Answer(s): (a) $80; (b) $24