Charlie had $40 more than Lucy. After Charlie spent 25% of his money and Lucy spent 75% of her money, they still had $334 left altogether.
- How much did Charlie have left in the end?
- Express the amount of money Lucy had left as a fraction of the amount of money Charlie had in the end. (Give your answer in the simplest form)
| |
Charlie |
Lucy |
| Before |
4 u + 40 |
4 u |
| Change |
- 1 u - 10 |
- 3 u |
| After |
3 u + 30 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Charlie and Lucy had in the end
= 3 u + 30 + 1 u
= 4 u + 30
4 u + 30 = 334
3 u + 1 u = 334 - 30
4 u = 304
1 u = 304 ÷ 4 = 76
Amount that Charlie had in the end
= 3 u + 30
= 3 x 76 + 30
= 228 + 30
= $258
(b)
Amount that the Lucy had in the end
= 1 u
= $76
Fraction of the amount that Lucy had left as a fraction of the amount that Charlie had in the end
=
76258=
38129 Answer(s): (a) $258; (b)
38129 
