Shannon had some money. She spent 30% on rent and 25% of her remaining money on a dress. She had $126 left.
- How much did she have at first?
- If the dress was bought at a 30% discount, what was the original price of the dress?
(a)
Percent of Shannon's amount left after she spent on rent
= 100% - 30%
= 70%
Percent of Shannon's remaining amount left after she spent on the dress
= 100% - 25%
= 75%
Fraction of Shannon's amount left
= 75% x 70%
=
75100 x
70100=
2140Total amount that Shannon had = 40 u
Amount that Shannon had left = 21 u
21 u = 126
1 u = 126 ÷ 21 = 6
Amount that Shannon had at first
= 40 u
= 40 x 6
= $240
(b)
Fraction of Shannon's amount spent on the dress
= 25% x 70%
=
25100 x
70100 =
740Amount that Shannon spent on the dress
= 7 u
= 7 x 6
= $42
Discounted price of the dress in percent
= 100% - 30%
= 70%
70% of the price of the dress = 42
1% of the price of the dress = 42 ÷ 70 = 0.6
100% of the price of the dress = 100 x 0.6 = 60
Original price of the dress = $60
Answer(s): (a) $240; (b) $60