Billy had $68 more than Kylie. After Billy spent 25% of his money and Kylie spent 75% of her money, they still had $219 left altogether.
- How much did Billy have left in the end?
- Express the amount of money Kylie had left as a fraction of the amount of money Billy had in the end. (Give your answer in the simplest form)
| |
Billy |
Kylie |
| Before |
4 u + 68 |
4 u |
| Change |
- 1 u - 17 |
- 3 u |
| After |
3 u + 51 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Billy and Kylie had in the end
= 3 u + 51 + 1 u
= 4 u + 51
4 u + 51 = 219
3 u + 1 u = 219 - 51
4 u = 168
1 u = 168 ÷ 4 = 42
Amount that Billy had in the end
= 3 u + 51
= 3 x 42 + 51
= 126 + 51
= $177
(b)
Amount that the Kylie had in the end
= 1 u
= $42
Fraction of the amount that Kylie had left as a fraction of the amount that Billy had in the end
=
42177=
1459 Answer(s): (a) $177; (b)
1459 
