Ivory had some money. She spent 50% on books and 30% of her remaining money on a shirt. She had $105 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 Ivory's amount left after she spent on books
= 100% - 50%
= 50%
Percent of Ivory's remaining amount left after she spent on the shirt
= 100% - 30%
= 70%
Fraction of Ivory's amount left
= 70% x 50%
=
70100 x
50100=
720Total amount that Ivory had = 20 u
Amount that Ivory had left = 7 u
7 u = 105
1 u = 105 ÷ 7 = 15
Amount that Ivory had at first
= 20 u
= 20 x 15
= $300
(b)
Fraction of Ivory's amount spent on the shirt
= 30% x 50%
=
30100 x
50100 =
320Amount that Ivory spent on the shirt
= 3 u
= 3 x 15
= $45
Discounted price of the shirt in percent
= 100% - 10%
= 90%
90% of the price of the shirt = 45
1% of the price of the shirt = 45 ÷ 90 = 0.5
100% of the price of the shirt = 100 x 0.5 = 50
Original price of the shirt = $50
Answer(s): (a) $300; (b) $50