Tommy had $35 more than Cathy. After Tommy spent 20% of his money and Cathy spent 70% of her money, they still had $226 left altogether.
- How much did Tommy have left in the end?
- Express the amount of money Cathy had left as a fraction of the amount of money Tommy had in the end. (Give your answer in the simplest form)
| |
Tommy |
Cathy |
| Before |
10 u + 35 |
10 u |
| Change |
- 2 u - 7 |
- 7 u |
| After |
8 u + 28 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Tommy and Cathy had in the end
= 8 u + 28 + 3 u
= 11 u + 28
11 u + 28 = 226
8 u + 3 u = 226 - 28
11 u = 198
1 u = 198 ÷ 11 = 18
Amount that Tommy had in the end
= 8 u + 28
= 8 x 18 + 28
= 144 + 28
= $172
(b)
Amount that the Cathy had in the end
= 1 u
= $18
Fraction of the amount that Cathy had left as a fraction of the amount that Tommy had in the end
=
18172=
986 Answer(s): (a) $172; (b)
986 
