Fanny had some money. She spent 40% on rent and 10% of her remaining money on a vest. She had $351 left.
- How much did she have at first?
- If the vest was bought at a 40% discount, what was the original price of the vest?
(a)
Percent of Fanny's amount left after she spent on rent
= 100% - 40%
= 60%
Percent of Fanny's remaining amount left after she spent on the vest
= 100% - 10%
= 90%
Fraction of Fanny's amount left
= 90% x 60%
=
90100 x
60100=
2750Total amount that Fanny had = 50 u
Amount that Fanny had left = 27 u
27 u = 351
1 u = 351 ÷ 27 = 13
Amount that Fanny had at first
= 50 u
= 50 x 13
= $650
(b)
Fraction of Fanny's amount spent on the vest
= 10% x 60%
=
10100 x
60100 =
350Amount that Fanny spent on the vest
= 3 u
= 3 x 13
= $39
Discounted price of the vest in percent
= 100% - 40%
= 60%
60% of the price of the vest = 39
1% of the price of the vest = 39 ÷ 60 = 0.65
100% of the price of the vest = 100 x 0.65 = 65
Original price of the vest = $65
Answer(s): (a) $650; (b) $65