Archie had $80 more than Linda. After Archie spent 25% of his money and Linda spent 75% of her money, they still had $364 left altogether.
- How much did Archie have left in the end?
- Express the amount of money Linda had left as a fraction of the amount of money Archie had in the end. (Give your answer in the simplest form)
| |
Archie |
Linda |
| Before |
4 u + 80 |
4 u |
| Change |
- 1 u - 20 |
- 3 u |
| After |
3 u + 60 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Archie and Linda had in the end
= 3 u + 60 + 1 u
= 4 u + 60
4 u + 60 = 364
3 u + 1 u = 364 - 60
4 u = 304
1 u = 304 ÷ 4 = 76
Amount that Archie had in the end
= 3 u + 60
= 3 x 76 + 60
= 228 + 60
= $288
(b)
Amount that the Linda had in the end
= 1 u
= $76
Fraction of the amount that Linda had left as a fraction of the amount that Archie had in the end
=
76288=
1972 Answer(s): (a) $288; (b)
1972 
