Jack had $50 more than Lynn. After Jack spent 20% of his money and Lynn spent 70% of her money, they still had $304 left altogether.
- How much did Jack have left in the end?
- Express the amount of money Lynn had left as a fraction of the amount of money Jack had in the end. (Give your answer in the simplest form)
| |
Jack |
Lynn |
| Before |
10 u + 50 |
10 u |
| Change |
- 2 u - 10 |
- 7 u |
| After |
8 u + 40 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Jack and Lynn had in the end
= 8 u + 40 + 3 u
= 11 u + 40
11 u + 40 = 304
8 u + 3 u = 304 - 40
11 u = 264
1 u = 264 ÷ 11 = 24
Amount that Jack had in the end
= 8 u + 40
= 8 x 24 + 40
= 192 + 40
= $232
(b)
Amount that the Lynn had in the end
= 1 u
= $24
Fraction of the amount that Lynn had left as a fraction of the amount that Jack had in the end
=
24232=
329 Answer(s): (a) $232; (b)
329 
