Kylie had some money. She spent 50% on rent and 30% of her remaining money on a jacket. She had $63 left.
- How much did she have at first?
- If the jacket was bought at a 25% discount, what was the original price of the jacket?
(a)
Percent of Kylie's amount left after she spent on rent
= 100% - 50%
= 50%
Percent of Kylie's remaining amount left after she spent on the jacket
= 100% - 30%
= 70%
Fraction of Kylie's amount left
= 70% x 50%
=
70100 x
50100=
720Total amount that Kylie had = 20 u
Amount that Kylie had left = 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Amount that Kylie had at first
= 20 u
= 20 x 9
= $180
(b)
Fraction of Kylie's amount spent on the jacket
= 30% x 50%
=
30100 x
50100 =
320Amount that Kylie spent on the jacket
= 3 u
= 3 x 9
= $27
Discounted price of the jacket in percent
= 100% - 25%
= 75%
75% of the price of the jacket = 27
1% of the price of the jacket = 27 ÷ 75 = 0.36
100% of the price of the jacket = 100 x 0.36 = 36
Original price of the jacket = $36
Answer(s): (a) $180; (b) $36