Gabriel had $40 more than Lynn. After Gabriel spent 25% of his money and Lynn spent 75% of her money, they still had $278 left altogether.
- How much did Gabriel have left in the end?
- Express the amount of money Lynn had left as a fraction of the amount of money Gabriel had in the end. (Give your answer in the simplest form)
|
Gabriel |
Lynn |
Before |
4 u + 40 |
4 u |
Change |
- 1 u - 10 |
- 3 u |
After |
3 u + 30 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Gabriel and Lynn had in the end
= 3 u + 30 + 1 u
= 4 u + 30
4 u + 30 = 278
3 u + 1 u = 278 - 30
4 u = 248
1 u = 248 ÷ 4 = 62
Amount that Gabriel had in the end
= 3 u + 30
= 3 x 62 + 30
= 186 + 30
= $216
(b)
Amount that the Lynn had in the end
= 1 u
= $62
Fraction of the amount that Lynn had left as a fraction of the amount that Gabriel had in the end
=
62216=
31108 Answer(s): (a) $216; (b)
31108