Erika had some money. She spent 20% on a tour and 30% of her remaining money on a jacket. She had $70 left.
- How much did she have at first?
- If the jacket was bought at a 25% discount, what was the original price of the jacket?
(a)
Percent of Erika's amount left after she spent on a tour
= 100% - 20%
= 80%
Percent of Erika's remaining amount left after she spent on the jacket
= 100% - 30%
= 70%
Fraction of Erika's amount left
= 70% x 80%
=
70100 x
80100=
1425Total amount that Erika had = 25 u
Amount that Erika had left = 14 u
14 u = 70
1 u = 70 ÷ 14 = 5
Amount that Erika had at first
= 25 u
= 25 x 5
= $125
(b)
Fraction of Erika's amount spent on the jacket
= 30% x 80%
=
30100 x
80100 =
625Amount that Erika spent on the jacket
= 6 u
= 6 x 5
= $30
Discounted price of the jacket in percent
= 100% - 25%
= 75%
75% of the price of the jacket = 30
1% of the price of the jacket = 30 ÷ 75 = 0.4
100% of the price of the jacket = 100 x 0.4 = 40
Original price of the jacket = $40
Answer(s): (a) $125; (b) $40