Warren had $52 more than Zoe. After Warren spent 25% of his money and Zoe spent 75% of her money, they still had $387 left altogether.
- How much did Warren have left in the end?
- Express the amount of money Zoe had left as a fraction of the amount of money Warren had in the end. (Give your answer in the simplest form)
|
Warren |
Zoe |
Before |
4 u + 52 |
4 u |
Change |
- 1 u - 13 |
- 3 u |
After |
3 u + 39 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Warren and Zoe had in the end
= 3 u + 39 + 1 u
= 4 u + 39
4 u + 39 = 387
3 u + 1 u = 387 - 39
4 u = 348
1 u = 348 ÷ 4 = 87
Amount that Warren had in the end
= 3 u + 39
= 3 x 87 + 39
= 261 + 39
= $300
(b)
Amount that the Zoe had in the end
= 1 u
= $87
Fraction of the amount that Zoe had left as a fraction of the amount that Warren had in the end
=
87300=
29100 Answer(s): (a) $300; (b)
29100