Charlie and Perry had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their uncle. The ratio of the amount paid by Charlie to the amount paid by Perry was 1 : 3. If Perry was left with $34 and Charlie had spent
35 of his money, how much was the ring they bought?
| |
Charlie |
Perry |
| Before |
5 u |
11 u |
| Change |
- 3 u |
- 9 u |
Comparing the
amounts spent |
- 1x3 |
- 3x3 |
| After |
2 u |
34 |
The amount that Charlie spent is repeated. Make the amount that Charlie spent the same. LCM of 1 and 3 is 3.
Amount that Charlie spent
=
35 x 5 u
= 3 u
Amount that Perry spent
= 3 x 3 u
= 9 u
Amount that Perry had left
= 11 u - 9 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
Price of the ring
= 3 u + 9 u
= 12 u
= 12 x 17
= $204
Answer(s): $204
