Xavier and Bryan had some allowance in the ratio of 6 : 7. They shared some money to buy a bracelet for their buddy. The ratio of the amount paid by Xavier to the amount paid by Bryan was 1 : 2. If Bryan was left with $90 and Xavier had spent
13 of his money, how much was the bracelet they bought?
| |
Xavier |
Bryan |
| Before |
6 u |
7 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
4 u |
90 |
The amount that Xavier spent is repeated. Make the amount that Xavier spent the same. LCM of 1 and 2 is 2.
Amount that Xavier spent
=
13 x 6 u
= 2 u
Amount that Bryan spent
= 2 x 2 u
= 4 u
Amount that Bryan had left
= 7 u - 4 u
= 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 30
= $180
Answer(s): $180
