Perry and Flynn had some allowance in the ratio of 3 : 11. They shared some money to buy a bracelet for their nephew. The ratio of the amount paid by Perry to the amount paid by Flynn was 1 : 2. If Flynn was left with $112 and Perry had spent
23 of his money, how much was the bracelet they bought?
| |
Perry |
Flynn |
| Before |
3 u |
11 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
112 |
The amount that Perry spent is repeated. Make the amount that Perry spent the same. LCM of 1 and 2 is 2.
Amount that Perry spent
=
23 x 3 u
= 2 u
Amount that Flynn spent
= 2 x 2 u
= 4 u
Amount that Flynn had left
= 11 u - 4 u
= 7 u
7 u = 112
1 u = 112 ÷ 7 = 16
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 16
= $96
Answer(s): $96
