Tim and Peter had some allowance in the ratio of 3 : 8. They shared some money to buy a bracelet for their buddy. The ratio of the amount paid by Tim to the amount paid by Peter was 1 : 2. If Peter was left with $44 and Tim had spent
23 of his money, how much was the bracelet they bought?
| |
Tim |
Peter |
| Before |
3 u |
8 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
44 |
The amount that Tim spent is repeated. Make the amount that Tim spent the same. LCM of 1 and 2 is 2.
Amount that Tim spent
=
23 x 3 u
= 2 u
Amount that Peter spent
= 2 x 2 u
= 4 u
Amount that Peter had left
= 8 u - 4 u
= 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 11
= $66
Answer(s): $66
