Dana had some money. She spent 40% on food and 30% of her remaining money on a blouse. She had $315 left.
- How much did she have at first?
- If the blouse was bought at a 10% discount, what was the original price of the blouse?
(a)
Percent of Dana's amount left after she spent on food
= 100% - 40%
= 60%
Percent of Dana's remaining amount left after she spent on the blouse
= 100% - 30%
= 70%
Fraction of Dana's amount left
= 70% x 60%
=
70100 x
60100=
2150Total amount that Dana had = 50 u
Amount that Dana had left = 21 u
21 u = 315
1 u = 315 ÷ 21 = 15
Amount that Dana had at first
= 50 u
= 50 x 15
= $750
(b)
Fraction of Dana's amount spent on the blouse
= 30% x 60%
=
30100 x
60100 =
950Amount that Dana spent on the blouse
= 9 u
= 9 x 15
= $135
Discounted price of the blouse in percent
= 100% - 10%
= 90%
90% of the price of the blouse = 135
1% of the price of the blouse = 135 ÷ 90 = 1.5
100% of the price of the blouse = 100 x 1.5 = 150
Original price of the blouse = $150
Answer(s): (a) $750; (b) $150