Ethan had $85 more than Fiona. After Ethan spent 20% of his money and Fiona spent 70% of her money, they still had $244 left altogether.
- How much did Ethan have left in the end?
- Express the amount of money Fiona had left as a fraction of the amount of money Ethan had in the end. (Give your answer in the simplest form)
| |
Ethan |
Fiona |
| Before |
10 u + 85 |
10 u |
| Change |
- 2 u - 17 |
- 7 u |
| After |
8 u + 68 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Ethan and Fiona had in the end
= 8 u + 68 + 3 u
= 11 u + 68
11 u + 68 = 244
8 u + 3 u = 244 - 68
11 u = 176
1 u = 176 ÷ 11 = 16
Amount that Ethan had in the end
= 8 u + 68
= 8 x 16 + 68
= 128 + 68
= $196
(b)
Amount that the Fiona had in the end
= 1 u
= $16
Fraction of the amount that Fiona had left as a fraction of the amount that Ethan had in the end
=
16196=
449 Answer(s): (a) $196; (b)
449 
