Pierre had $24 more than Tina. After Pierre spent 25% of his money and Tina spent 75% of her money, they still had $338 left altogether.
- How much did Pierre have left in the end?
- Express the amount of money Tina had left as a fraction of the amount of money Pierre had in the end. (Give your answer in the simplest form)
| |
Pierre |
Tina |
| Before |
4 u + 24 |
4 u |
| Change |
- 1 u - 6 |
- 3 u |
| After |
3 u + 18 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Pierre and Tina had in the end
= 3 u + 18 + 1 u
= 4 u + 18
4 u + 18 = 338
3 u + 1 u = 338 - 18
4 u = 320
1 u = 320 ÷ 4 = 80
Amount that Pierre had in the end
= 3 u + 18
= 3 x 80 + 18
= 240 + 18
= $258
(b)
Amount that the Tina had in the end
= 1 u
= $80
Fraction of the amount that Tina had left as a fraction of the amount that Pierre had in the end
=
80258=
40129 Answer(s): (a) $258; (b)
40129 
