Peter and Charlie had some allowance in the ratio of 5 : 7. They shared some money to buy a bracelet for their best friend. The ratio of the amount paid by Peter to the amount paid by Charlie was 1 : 2. If Charlie was left with $66 and Peter had spent
25 of his money, how much was the bracelet they bought?
| |
Peter |
Charlie |
| Before |
5 u |
7 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
66 |
The amount that Peter spent is repeated. Make the amount that Peter spent the same. LCM of 1 and 2 is 2.
Amount that Peter spent
=
25 x 5 u
= 2 u
Amount that Charlie spent
= 2 x 2 u
= 4 u
Amount that Charlie had left
= 7 u - 4 u
= 3 u
3 u = 66
1 u = 66 ÷ 3 = 22
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 22
= $132
Answer(s): $132
