Howard had $56 more than Roshel. After Howard spent 25% of his money and Roshel spent 75% of her money, they still had $242 left altogether.
- How much did Howard have left in the end?
- Express the amount of money Roshel had left as a fraction of the amount of money Howard had in the end. (Give your answer in the simplest form)
| |
Howard |
Roshel |
| Before |
4 u + 56 |
4 u |
| Change |
- 1 u - 14 |
- 3 u |
| After |
3 u + 42 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Howard and Roshel had in the end
= 3 u + 42 + 1 u
= 4 u + 42
4 u + 42 = 242
3 u + 1 u = 242 - 42
4 u = 200
1 u = 200 ÷ 4 = 50
Amount that Howard had in the end
= 3 u + 42
= 3 x 50 + 42
= 150 + 42
= $192
(b)
Amount that the Roshel had in the end
= 1 u
= $50
Fraction of the amount that Roshel had left as a fraction of the amount that Howard had in the end
=
50192=
2596 Answer(s): (a) $192; (b)
2596 
