Zeph and Xavier had some allowance in the ratio of 5 : 11. They shared some money to buy a bracelet for their friend. The ratio of the amount paid by Zeph to the amount paid by Xavier was 1 : 2. If Xavier was left with $39 and Zeph had spent
45 of his money, how much was the bracelet they bought?
| |
Zeph |
Xavier |
| Before |
5 u |
11 u |
| Change |
- 4 u |
- 8 u |
Comparing the
amounts spent |
- 1x4 |
- 2x4 |
| After |
1 u |
39 |
The amount that Zeph spent is repeated. Make the amount that Zeph spent the same. LCM of 1 and 4 is 4.
Amount that Zeph spent
=
45 x 5 u
= 4 u
Amount that Xavier spent
= 2 x 4 u
= 8 u
Amount that Xavier had left
= 11 u - 8 u
= 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Price of the bracelet
= 4 u + 8 u
= 12 u
= 12 x 13
= $156
Answer(s): $156
