Tina had some money. She spent 25% on a tour and 30% of her remaining money on a jumpsuit. She had $294 left.
- How much did she have at first?
- If the jumpsuit was bought at a 10% discount, what was the original price of the jumpsuit?
(a)
Percent of Tina's amount left after she spent on a tour
= 100% - 25%
= 75%
Percent of Tina's remaining amount left after she spent on the jumpsuit
= 100% - 30%
= 70%
Fraction of Tina's amount left
= 70% x 75%
=
70100 x
75100=
2140Total amount that Tina had = 40 u
Amount that Tina had left = 21 u
21 u = 294
1 u = 294 ÷ 21 = 14
Amount that Tina had at first
= 40 u
= 40 x 14
= $560
(b)
Fraction of Tina's amount spent on the jumpsuit
= 30% x 75%
=
30100 x
75100 =
940Amount that Tina spent on the jumpsuit
= 9 u
= 9 x 14
= $126
Discounted price of the jumpsuit in percent
= 100% - 10%
= 90%
90% of the price of the jumpsuit = 126
1% of the price of the jumpsuit = 126 ÷ 90 = 1.4
100% of the price of the jumpsuit = 100 x 1.4 = 140
Original price of the jumpsuit = $140
Answer(s): (a) $560; (b) $140