Gillian had some money. She spent 40% on books and 10% of her remaining money on a sweater. She had $162 left.
- How much did she have at first?
- If the sweater was bought at a 40% discount, what was the original price of the sweater?
(a)
Percent of Gillian's amount left after she spent on books
= 100% - 40%
= 60%
Percent of Gillian's remaining amount left after she spent on the sweater
= 100% - 10%
= 90%
Fraction of Gillian's amount left
= 90% x 60%
=
90100 x
60100=
2750Total amount that Gillian had = 50 u
Amount that Gillian had left = 27 u
27 u = 162
1 u = 162 ÷ 27 = 6
Amount that Gillian had at first
= 50 u
= 50 x 6
= $300
(b)
Fraction of Gillian's amount spent on the sweater
= 10% x 60%
=
10100 x
60100 =
350Amount that Gillian spent on the sweater
= 3 u
= 3 x 6
= $18
Discounted price of the sweater in percent
= 100% - 40%
= 60%
60% of the price of the sweater = 18
1% of the price of the sweater = 18 ÷ 60 = 0.3
100% of the price of the sweater = 100 x 0.3 = 30
Original price of the sweater = $30
Answer(s): (a) $300; (b) $30