Gabby had some money. She spent 40% on books and 20% of her remaining money on a skirt. She had $144 left.
- How much did she have at first?
- If the skirt was bought at a 40% discount, what was the original price of the skirt?
(a)
Percent of Gabby's amount left after she spent on books
= 100% - 40%
= 60%
Percent of Gabby's remaining amount left after she spent on the skirt
= 100% - 20%
= 80%
Fraction of Gabby's amount left
= 80% x 60%
=
80100 x
60100=
1225Total amount that Gabby had = 25 u
Amount that Gabby had left = 12 u
12 u = 144
1 u = 144 ÷ 12 = 12
Amount that Gabby had at first
= 25 u
= 25 x 12
= $300
(b)
Fraction of Gabby's amount spent on the skirt
= 20% x 60%
=
20100 x
60100 =
325Amount that Gabby spent on the skirt
= 3 u
= 3 x 12
= $36
Discounted price of the skirt in percent
= 100% - 40%
= 60%
60% of the price of the skirt = 36
1% of the price of the skirt = 36 ÷ 60 = 0.6
100% of the price of the skirt = 100 x 0.6 = 60
Original price of the skirt = $60
Answer(s): (a) $300; (b) $60