Vanessa had some money. She spent 25% on food and 10% of her remaining money on a skirt. She had $189 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 Vanessa's amount left after she spent on food
= 100% - 25%
= 75%
Percent of Vanessa's remaining amount left after she spent on the skirt
= 100% - 10%
= 90%
Fraction of Vanessa's amount left
= 90% x 75%
=
90100 x
75100=
2740Total amount that Vanessa had = 40 u
Amount that Vanessa had left = 27 u
27 u = 189
1 u = 189 ÷ 27 = 7
Amount that Vanessa had at first
= 40 u
= 40 x 7
= $280
(b)
Fraction of Vanessa's amount spent on the skirt
= 10% x 75%
=
10100 x
75100 =
340Amount that Vanessa spent on the skirt
= 3 u
= 3 x 7
= $21
Discounted price of the skirt in percent
= 100% - 40%
= 60%
60% of the price of the skirt = 21
1% of the price of the skirt = 21 ÷ 60 = 0.35
100% of the price of the skirt = 100 x 0.35 = 35
Original price of the skirt = $35
Answer(s): (a) $280; (b) $35