Perry had $35 more than Jean. After Perry spent 20% of his money and Jean spent 70% of her money, they still had $204 left altogether.
- How much did Perry have left in the end?
- Express the amount of money Jean had left as a fraction of the amount of money Perry had in the end. (Give your answer in the simplest form)
| |
Perry |
Jean |
| Before |
10 u + 35 |
10 u |
| Change |
- 2 u - 7 |
- 7 u |
| After |
8 u + 28 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Perry and Jean had in the end
= 8 u + 28 + 3 u
= 11 u + 28
11 u + 28 = 204
8 u + 3 u = 204 - 28
11 u = 176
1 u = 176 ÷ 11 = 16
Amount that Perry had in the end
= 8 u + 28
= 8 x 16 + 28
= 128 + 28
= $156
(b)
Amount that the Jean had in the end
= 1 u
= $16
Fraction of the amount that Jean had left as a fraction of the amount that Perry had in the end
=
16156=
439 Answer(s): (a) $156; (b)
439 
