Ethan had $68 more than Yen. After Ethan spent 25% of his money and Yen spent 75% of her money, they still had $351 left altogether.
- How much did Ethan have left in the end?
- Express the amount of money Yen had left as a fraction of the amount of money Ethan had in the end. (Give your answer in the simplest form)
| |
Ethan |
Yen |
| Before |
4 u + 68 |
4 u |
| Change |
- 1 u - 17 |
- 3 u |
| After |
3 u + 51 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Ethan and Yen had in the end
= 3 u + 51 + 1 u
= 4 u + 51
4 u + 51 = 351
3 u + 1 u = 351 - 51
4 u = 300
1 u = 300 ÷ 4 = 75
Amount that Ethan had in the end
= 3 u + 51
= 3 x 75 + 51
= 225 + 51
= $276
(b)
Amount that the Yen had in the end
= 1 u
= $75
Fraction of the amount that Yen had left as a fraction of the amount that Ethan had in the end
=
75276=
2592 Answer(s): (a) $276; (b)
2592 
