Fred had $56 more than Dana. After Fred spent 25% of his money and Dana spent 75% of her money, they still had $362 left altogether.
- How much did Fred have left in the end?
- Express the amount of money Dana had left as a fraction of the amount of money Fred had in the end. (Give your answer in the simplest form)
| |
Fred |
Dana |
| Before |
4 u + 56 |
4 u |
| Change |
- 1 u - 14 |
- 3 u |
| After |
3 u + 42 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Fred and Dana had in the end
= 3 u + 42 + 1 u
= 4 u + 42
4 u + 42 = 362
3 u + 1 u = 362 - 42
4 u = 320
1 u = 320 ÷ 4 = 80
Amount that Fred had in the end
= 3 u + 42
= 3 x 80 + 42
= 240 + 42
= $282
(b)
Amount that the Dana had in the end
= 1 u
= $80
Fraction of the amount that Dana had left as a fraction of the amount that Fred had in the end
=
80282=
40141 Answer(s): (a) $282; (b)
40141 
