Ben had $95 more than Diana. After Ben spent 20% of his money and Diana spent 70% of her money, they still had $318 left altogether.
- How much did Ben have left in the end?
- Express the amount of money Diana had left as a fraction of the amount of money Ben had in the end. (Give your answer in the simplest form)
| |
Ben |
Diana |
| Before |
10 u + 95 |
10 u |
| Change |
- 2 u - 19 |
- 7 u |
| After |
8 u + 76 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Ben and Diana had in the end
= 8 u + 76 + 3 u
= 11 u + 76
11 u + 76 = 318
8 u + 3 u = 318 - 76
11 u = 242
1 u = 242 ÷ 11 = 22
Amount that Ben had in the end
= 8 u + 76
= 8 x 22 + 76
= 176 + 76
= $252
(b)
Amount that the Diana had in the end
= 1 u
= $22
Fraction of the amount that Diana had left as a fraction of the amount that Ben had in the end
=
22252=
11126 Answer(s): (a) $252; (b)
11126 
