Joelle had some money. She spent 30% on food and 25% of her remaining money on a blouse. She had $189 left.
- How much did she have at first?
- If the blouse was bought at a 25% discount, what was the original price of the blouse?
(a)
Percent of Joelle's amount left after she spent on food
= 100% - 30%
= 70%
Percent of Joelle's remaining amount left after she spent on the blouse
= 100% - 25%
= 75%
Fraction of Joelle's amount left
= 75% x 70%
=
75100 x
70100=
2140Total amount that Joelle had = 40 u
Amount that Joelle had left = 21 u
21 u = 189
1 u = 189 ÷ 21 = 9
Amount that Joelle had at first
= 40 u
= 40 x 9
= $360
(b)
Fraction of Joelle's amount spent on the blouse
= 25% x 70%
=
25100 x
70100 =
740Amount that Joelle spent on the blouse
= 7 u
= 7 x 9
= $63
Discounted price of the blouse in percent
= 100% - 25%
= 75%
75% of the price of the blouse = 63
1% of the price of the blouse = 63 ÷ 75 = 0.84
100% of the price of the blouse = 100 x 0.84 = 84
Original price of the blouse = $84
Answer(s): (a) $360; (b) $84