Howard and Lee had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their father. The ratio of the amount paid by Howard to the amount paid by Lee was 1 : 2. If Lee was left with $66 and Howard had spent
45 of his money, how much was the ring they bought?
| |
Howard |
Lee |
| Before |
5 u |
11 u |
| Change |
- 4 u |
- 8 u |
Comparing the
amounts spent |
- 1x4 |
- 2x4 |
| After |
1 u |
66 |
The amount that Howard spent is repeated. Make the amount that Howard spent the same. LCM of 1 and 4 is 4.
Amount that Howard spent
=
45 x 5 u
= 4 u
Amount that Lee spent
= 2 x 4 u
= 8 u
Amount that Lee had left
= 11 u - 8 u
= 3 u
3 u = 66
1 u = 66 ÷ 3 = 22
Price of the ring
= 4 u + 8 u
= 12 u
= 12 x 22
= $264
Answer(s): $264
