Charlie had $72 more than Hilda. After Charlie spent 25% of his money and Hilda spent 75% of her money, they still had $398 left altogether.
- How much did Charlie have left in the end?
- Express the amount of money Hilda had left as a fraction of the amount of money Charlie had in the end. (Give your answer in the simplest form)
|
Charlie |
Hilda |
Before |
4 u + 72 |
4 u |
Change |
- 1 u - 18 |
- 3 u |
After |
3 u + 54 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Charlie and Hilda had in the end
= 3 u + 54 + 1 u
= 4 u + 54
4 u + 54 = 398
3 u + 1 u = 398 - 54
4 u = 344
1 u = 344 ÷ 4 = 86
Amount that Charlie had in the end
= 3 u + 54
= 3 x 86 + 54
= 258 + 54
= $312
(b)
Amount that the Hilda had in the end
= 1 u
= $86
Fraction of the amount that Hilda had left as a fraction of the amount that Charlie had in the end
=
86312=
43156 Answer(s): (a) $312; (b)
43156