Emma had some money. She spent 10% on rent and 30% of her remaining money on a blouse. She had $756 left.
- How much did she have at first?
- If the blouse was bought at a 40% discount, what was the original price of the blouse?
(a)
Percent of Emma's amount left after she spent on rent
= 100% - 10%
= 90%
Percent of Emma's remaining amount left after she spent on the blouse
= 100% - 30%
= 70%
Fraction of Emma's amount left
= 70% x 90%
=
70100 x
90100=
63100Total amount that Emma had = 100 u
Amount that Emma had left = 63 u
63 u = 756
1 u = 756 ÷ 63 = 12
Amount that Emma had at first
= 100 u
= 100 x 12
= $1200
(b)
Fraction of Emma's amount spent on the blouse
= 30% x 90%
=
30100 x
90100 =
27100Amount that Emma spent on the blouse
= 27 u
= 27 x 12
= $324
Discounted price of the blouse in percent
= 100% - 40%
= 60%
60% of the price of the blouse = 324
1% of the price of the blouse = 324 ÷ 60 = 5.4
100% of the price of the blouse = 100 x 5.4 = 540
Original price of the blouse = $540
Answer(s): (a) $1200; (b) $540