Jean had some money. She spent 10% on food and 30% of her remaining money on a coat. She had $126 left.
- How much did she have at first?
- If the coat was bought at a 40% discount, what was the original price of the coat?
(a)
Percent of Jean's amount left after she spent on food
= 100% - 10%
= 90%
Percent of Jean's remaining amount left after she spent on the coat
= 100% - 30%
= 70%
Fraction of Jean's amount left
= 70% x 90%
=
70100 x
90100=
63100Total amount that Jean had = 100 u
Amount that Jean had left = 63 u
63 u = 126
1 u = 126 ÷ 63 = 2
Amount that Jean had at first
= 100 u
= 100 x 2
= $200
(b)
Fraction of Jean's amount spent on the coat
= 30% x 90%
=
30100 x
90100 =
27100Amount that Jean spent on the coat
= 27 u
= 27 x 2
= $54
Discounted price of the coat in percent
= 100% - 40%
= 60%
60% of the price of the coat = 54
1% of the price of the coat = 54 ÷ 60 = 0.9
100% of the price of the coat = 100 x 0.9 = 90
Original price of the coat = $90
Answer(s): (a) $200; (b) $90