Emily had some money. She spent 40% on a tour and 10% of her remaining money on a sweater. She had $324 left.
- How much did she have at first?
- If the sweater was bought at a 20% discount, what was the original price of the sweater?
(a)
Percent of Emily's amount left after she spent on a tour
= 100% - 40%
= 60%
Percent of Emily's remaining amount left after she spent on the sweater
= 100% - 10%
= 90%
Fraction of Emily's amount left
= 90% x 60%
=
90100 x
60100=
2750Total amount that Emily had = 50 u
Amount that Emily had left = 27 u
27 u = 324
1 u = 324 ÷ 27 = 12
Amount that Emily had at first
= 50 u
= 50 x 12
= $600
(b)
Fraction of Emily's amount spent on the sweater
= 10% x 60%
=
10100 x
60100 =
350Amount that Emily spent on the sweater
= 3 u
= 3 x 12
= $36
Discounted price of the sweater in percent
= 100% - 20%
= 80%
80% of the price of the sweater = 36
1% of the price of the sweater = 36 ÷ 80 = 0.45
100% of the price of the sweater = 100 x 0.45 = 45
Original price of the sweater = $45
Answer(s): (a) $600; (b) $45