Will and Charlie had some allowance in the ratio of 3 : 10. They shared some money to buy a bracelet for their nephew. The ratio of the amount paid by Will to the amount paid by Charlie was 1 : 2. If Charlie was left with $162 and Will had spent
23 of his money, how much was the bracelet they bought?
| |
Will |
Charlie |
| Before |
3 u |
10 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
162 |
The amount that Will spent is repeated. Make the amount that Will spent the same. LCM of 1 and 2 is 2.
Amount that Will spent
=
23 x 3 u
= 2 u
Amount that Charlie spent
= 2 x 2 u
= 4 u
Amount that Charlie had left
= 10 u - 4 u
= 6 u
6 u = 162
1 u = 162 ÷ 6 = 27
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 27
= $162
Answer(s): $162
