Zane had $80 more than Lucy. After Zane spent 20% of his money and Lucy spent 70% of her money, they still had $262 left altogether.
- How much did Zane have left in the end?
- Express the amount of money Lucy had left as a fraction of the amount of money Zane had in the end. (Give your answer in the simplest form)
| |
Zane |
Lucy |
| Before |
10 u + 80 |
10 u |
| Change |
- 2 u - 16 |
- 7 u |
| After |
8 u + 64 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Zane and Lucy had in the end
= 8 u + 64 + 3 u
= 11 u + 64
11 u + 64 = 262
8 u + 3 u = 262 - 64
11 u = 198
1 u = 198 ÷ 11 = 18
Amount that Zane had in the end
= 8 u + 64
= 8 x 18 + 64
= 144 + 64
= $208
(b)
Amount that the Lucy had in the end
= 1 u
= $18
Fraction of the amount that Lucy had left as a fraction of the amount that Zane had in the end
=
18208=
9104 Answer(s): (a) $208; (b)
9104 
