Diana had some money. She spent 40% on books and 20% of her remaining money on a blazer. She had $168 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 Diana's amount left after she spent on books
= 100% - 40%
= 60%
Percent of Diana's remaining amount left after she spent on the blazer
= 100% - 20%
= 80%
Fraction of Diana's amount left
= 80% x 60%
=
80100 x
60100=
1225Total amount that Diana had = 25 u
Amount that Diana had left = 12 u
12 u = 168
1 u = 168 ÷ 12 = 14
Amount that Diana had at first
= 25 u
= 25 x 14
= $350
(b)
Fraction of Diana's amount spent on the blazer
= 20% x 60%
=
20100 x
60100 =
325Amount that Diana spent on the blazer
= 3 u
= 3 x 14
= $42
Discounted price of the blazer in percent
= 100% - 40%
= 60%
60% of the price of the blazer = 42
1% of the price of the blazer = 42 ÷ 60 = 0.7
100% of the price of the blazer = 100 x 0.7 = 70
Original price of the blazer = $70
Answer(s): (a) $350; (b) $70