Carl had $30 more than Shannon. After Carl spent 20% of his money and Shannon spent 70% of her money, they still had $354 left altogether.
- How much did Carl have left in the end?
- Express the amount of money Shannon had left as a fraction of the amount of money Carl had in the end. (Give your answer in the simplest form)
| |
Carl |
Shannon |
| Before |
10 u + 30 |
10 u |
| Change |
- 2 u - 6 |
- 7 u |
| After |
8 u + 24 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Carl and Shannon had in the end
= 8 u + 24 + 3 u
= 11 u + 24
11 u + 24 = 354
8 u + 3 u = 354 - 24
11 u = 330
1 u = 330 ÷ 11 = 30
Amount that Carl had in the end
= 8 u + 24
= 8 x 30 + 24
= 240 + 24
= $264
(b)
Amount that the Shannon had in the end
= 1 u
= $30
Fraction of the amount that Shannon had left as a fraction of the amount that Carl had in the end
=
30264=
544 Answer(s): (a) $264; (b)
544 
