Nora had some money. She spent 40% on a tour and 25% of her remaining money on a blouse. She had $54 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 Nora's amount left after she spent on a tour
= 100% - 40%
= 60%
Percent of Nora's remaining amount left after she spent on the blouse
= 100% - 25%
= 75%
Fraction of Nora's amount left
= 75% x 60%
=
75100 x
60100=
920Total amount that Nora had = 20 u
Amount that Nora had left = 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Amount that Nora had at first
= 20 u
= 20 x 6
= $120
(b)
Fraction of Nora's amount spent on the blouse
= 25% x 60%
=
25100 x
60100 =
320Amount that Nora spent on the blouse
= 3 u
= 3 x 6
= $18
Discounted price of the blouse in percent
= 100% - 40%
= 60%
60% of the price of the blouse = 18
1% of the price of the blouse = 18 ÷ 60 = 0.3
100% of the price of the blouse = 100 x 0.3 = 30
Original price of the blouse = $30
Answer(s): (a) $120; (b) $30