Zane had $100 more than Gwen. After Zane spent 25% of his money and Gwen spent 75% of her money, they still had $219 left altogether.
- How much did Zane have left in the end?
- Express the amount of money Gwen had left as a fraction of the amount of money Zane had in the end. (Give your answer in the simplest form)
|
Zane |
Gwen |
Before |
4 u + 100 |
4 u |
Change |
- 1 u - 25 |
- 3 u |
After |
3 u + 75 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Zane and Gwen had in the end
= 3 u + 75 + 1 u
= 4 u + 75
4 u + 75 = 219
3 u + 1 u = 219 - 75
4 u = 144
1 u = 144 ÷ 4 = 36
Amount that Zane had in the end
= 3 u + 75
= 3 x 36 + 75
= 108 + 75
= $183
(b)
Amount that the Gwen had in the end
= 1 u
= $36
Fraction of the amount that Gwen had left as a fraction of the amount that Zane had in the end
=
36183=
1261 Answer(s): (a) $183; (b)
1261