Lynn had some money. She spent 30% on food and 25% 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 30% discount, what was the original price of the jacket?
(a)
Percent of Lynn's amount left after she spent on food
= 100% - 30%
= 70%
Percent of Lynn's remaining amount left after she spent on the jacket
= 100% - 25%
= 75%
Fraction of Lynn's amount left
= 75% x 70%
=
75100 x
70100=
2140Total amount that Lynn had = 40 u
Amount that Lynn had left = 21 u
21 u = 63
1 u = 63 ÷ 21 = 3
Amount that Lynn had at first
= 40 u
= 40 x 3
= $120
(b)
Fraction of Lynn's amount spent on the jacket
= 25% x 70%
=
25100 x
70100 =
740Amount that Lynn spent on the jacket
= 7 u
= 7 x 3
= $21
Discounted price of the jacket in percent
= 100% - 30%
= 70%
70% of the price of the jacket = 21
1% of the price of the jacket = 21 ÷ 70 = 0.3
100% of the price of the jacket = 100 x 0.3 = 30
Original price of the jacket = $30
Answer(s): (a) $120; (b) $30