Fabian had $100 more than Roshel. After Fabian spent 25% of his money and Roshel spent 75% of her money, they still had $231 left altogether.
- How much did Fabian have left in the end?
- Express the amount of money Roshel had left as a fraction of the amount of money Fabian had in the end. (Give your answer in the simplest form)
| |
Fabian |
Roshel |
| 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 Fabian and Roshel had in the end
= 3 u + 75 + 1 u
= 4 u + 75
4 u + 75 = 231
3 u + 1 u = 231 - 75
4 u = 156
1 u = 156 ÷ 4 = 39
Amount that Fabian had in the end
= 3 u + 75
= 3 x 39 + 75
= 117 + 75
= $192
(b)
Amount that the Roshel had in the end
= 1 u
= $39
Fraction of the amount that Roshel had left as a fraction of the amount that Fabian had in the end
=
39192=
1364 Answer(s): (a) $192; (b)
1364 
