Esther had some money. She spent 40% on rent and 30% of her remaining money on a shirt. She had $189 left.
- How much did she have at first?
- If the shirt was bought at a 10% discount, what was the original price of the shirt?
(a)
Percent of Esther's amount left after she spent on rent
= 100% - 40%
= 60%
Percent of Esther's remaining amount left after she spent on the shirt
= 100% - 30%
= 70%
Fraction of Esther's amount left
= 70% x 60%
=
70100 x
60100=
2150Total amount that Esther had = 50 u
Amount that Esther had left = 21 u
21 u = 189
1 u = 189 ÷ 21 = 9
Amount that Esther had at first
= 50 u
= 50 x 9
= $450
(b)
Fraction of Esther's amount spent on the shirt
= 30% x 60%
=
30100 x
60100 =
950Amount that Esther spent on the shirt
= 9 u
= 9 x 9
= $81
Discounted price of the shirt in percent
= 100% - 10%
= 90%
90% of the price of the shirt = 81
1% of the price of the shirt = 81 ÷ 90 = 0.9
100% of the price of the shirt = 100 x 0.9 = 90
Original price of the shirt = $90
Answer(s): (a) $450; (b) $90