Fanny had some money. She spent 10% on books and 25% of her remaining money on a blazer. She had $189 left.
- How much did she have at first?
- If the blazer was bought at a 10% discount, what was the original price of the blazer?
(a)
Percent of Fanny's amount left after she spent on books
= 100% - 10%
= 90%
Percent of Fanny's remaining amount left after she spent on the blazer
= 100% - 25%
= 75%
Fraction of Fanny's amount left
= 75% x 90%
=
75100 x
90100=
2740Total amount that Fanny had = 40 u
Amount that Fanny had left = 27 u
27 u = 189
1 u = 189 ÷ 27 = 7
Amount that Fanny had at first
= 40 u
= 40 x 7
= $280
(b)
Fraction of Fanny's amount spent on the blazer
= 25% x 90%
=
25100 x
90100 =
940Amount that Fanny spent on the blazer
= 9 u
= 9 x 7
= $63
Discounted price of the blazer in percent
= 100% - 10%
= 90%
90% of the price of the blazer = 63
1% of the price of the blazer = 63 ÷ 90 = 0.7
100% of the price of the blazer = 100 x 0.7 = 70
Original price of the blazer = $70
Answer(s): (a) $280; (b) $70