Emma had some money. She spent 40% on food and 10% of her remaining money on a dress. She had $216 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 Emma's amount left after she spent on food
= 100% - 40%
= 60%
Percent of Emma's remaining amount left after she spent on the dress
= 100% - 10%
= 90%
Fraction of Emma's amount left
= 90% x 60%
=
90100 x
60100=
2750Total amount that Emma had = 50 u
Amount that Emma had left = 27 u
27 u = 216
1 u = 216 ÷ 27 = 8
Amount that Emma had at first
= 50 u
= 50 x 8
= $400
(b)
Fraction of Emma's amount spent on the dress
= 10% x 60%
=
10100 x
60100 =
350Amount that Emma spent on the dress
= 3 u
= 3 x 8
= $24
Discounted price of the dress in percent
= 100% - 25%
= 75%
75% of the price of the dress = 24
1% of the price of the dress = 24 ÷ 75 = 0.32
100% of the price of the dress = 100 x 0.32 = 32
Original price of the dress = $32
Answer(s): (a) $400; (b) $32