Carl had $75 more than Xylium. After Carl spent 20% of his money and Xylium spent 70% of her money, they still had $368 left altogether.
- How much did Carl have left in the end?
- Express the amount of money Xylium had left as a fraction of the amount of money Carl had in the end. (Give your answer in the simplest form)
| |
Carl |
Xylium |
| Before |
10 u + 75 |
10 u |
| Change |
- 2 u - 15 |
- 7 u |
| After |
8 u + 60 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Carl and Xylium had in the end
= 8 u + 60 + 3 u
= 11 u + 60
11 u + 60 = 368
8 u + 3 u = 368 - 60
11 u = 308
1 u = 308 ÷ 11 = 28
Amount that Carl had in the end
= 8 u + 60
= 8 x 28 + 60
= 224 + 60
= $284
(b)
Amount that the Xylium had in the end
= 1 u
= $28
Fraction of the amount that Xylium had left as a fraction of the amount that Carl had in the end
=
28284=
771 Answer(s): (a) $284; (b)
771 
