David had $90 more than Irene. After David spent 20% of his money and Irene spent 70% of her money, they still had $204 left altogether.
- How much did David have left in the end?
- Express the amount of money Irene had left as a fraction of the amount of money David had in the end. (Give your answer in the simplest form)
| |
David |
Irene |
| Before |
10 u + 90 |
10 u |
| Change |
- 2 u - 18 |
- 7 u |
| After |
8 u + 72 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that David and Irene had in the end
= 8 u + 72 + 3 u
= 11 u + 72
11 u + 72 = 204
8 u + 3 u = 204 - 72
11 u = 132
1 u = 132 ÷ 11 = 12
Amount that David had in the end
= 8 u + 72
= 8 x 12 + 72
= 96 + 72
= $168
(b)
Amount that the Irene had in the end
= 1 u
= $12
Fraction of the amount that Irene had left as a fraction of the amount that David had in the end
=
12168=
114 Answer(s): (a) $168; (b)
114 
