Betty had some money. She spent 10% on a tour and 30% of her remaining money on a jacket. She had $630 left.
- How much did she have at first?
- If the jacket was bought at a 10% discount, what was the original price of the jacket?
(a)
Percent of Betty's amount left after she spent on a tour
= 100% - 10%
= 90%
Percent of Betty's remaining amount left after she spent on the jacket
= 100% - 30%
= 70%
Fraction of Betty's amount left
= 70% x 90%
=
70100 x
90100=
63100Total amount that Betty had = 100 u
Amount that Betty had left = 63 u
63 u = 630
1 u = 630 ÷ 63 = 10
Amount that Betty had at first
= 100 u
= 100 x 10
= $1000
(b)
Fraction of Betty's amount spent on the jacket
= 30% x 90%
=
30100 x
90100 =
27100Amount that Betty spent on the jacket
= 27 u
= 27 x 10
= $270
Discounted price of the jacket in percent
= 100% - 10%
= 90%
90% of the price of the jacket = 270
1% of the price of the jacket = 270 ÷ 90 = 3
100% of the price of the jacket = 100 x 3 = 300
Original price of the jacket = $300
Answer(s): (a) $1000; (b) $300