Luke had $95 more than Gillian. After Luke spent 20% of his money and Gillian spent 70% of her money, they still had $362 left altogether.
- How much did Luke have left in the end?
- Express the amount of money Gillian had left as a fraction of the amount of money Luke had in the end. (Give your answer in the simplest form)
| |
Luke |
Gillian |
| Before |
10 u + 95 |
10 u |
| Change |
- 2 u - 19 |
- 7 u |
| After |
8 u + 76 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Luke and Gillian had in the end
= 8 u + 76 + 3 u
= 11 u + 76
11 u + 76 = 362
8 u + 3 u = 362 - 76
11 u = 286
1 u = 286 ÷ 11 = 26
Amount that Luke had in the end
= 8 u + 76
= 8 x 26 + 76
= 208 + 76
= $284
(b)
Amount that the Gillian had in the end
= 1 u
= $26
Fraction of the amount that Gillian had left as a fraction of the amount that Luke had in the end
=
26284=
13142 Answer(s): (a) $284; (b)
13142 
