Xuan had some money. She spent 50% on a tour and 30% of her remaining money on a blazer. She had $63 left.
- How much did she have at first?
- If the blazer was bought at a 40% discount, what was the original price of the blazer?
(a)
Percent of Xuan's amount left after she spent on a tour
= 100% - 50%
= 50%
Percent of Xuan's remaining amount left after she spent on the blazer
= 100% - 30%
= 70%
Fraction of Xuan's amount left
= 70% x 50%
=
70100 x
50100=
720Total amount that Xuan had = 20 u
Amount that Xuan had left = 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Amount that Xuan had at first
= 20 u
= 20 x 9
= $180
(b)
Fraction of Xuan's amount spent on the blazer
= 30% x 50%
=
30100 x
50100 =
320Amount that Xuan spent on the blazer
= 3 u
= 3 x 9
= $27
Discounted price of the blazer in percent
= 100% - 40%
= 60%
60% of the price of the blazer = 27
1% of the price of the blazer = 27 ÷ 60 = 0.45
100% of the price of the blazer = 100 x 0.45 = 45
Original price of the blazer = $45
Answer(s): (a) $180; (b) $45