Xavier and Ian had some allowance in the ratio of 5 : 9. They shared some money to buy a bracelet for their friend. The ratio of the amount paid by Xavier to the amount paid by Ian was 1 : 2. If Ian was left with $90 and Xavier had spent
35 of his money, how much was the bracelet they bought?
| |
Xavier |
Ian |
| Before |
5 u |
9 u |
| Change |
- 3 u |
- 6 u |
Comparing the
amounts spent |
- 1x3 |
- 2x3 |
| After |
2 u |
90 |
The amount that Xavier spent is repeated. Make the amount that Xavier spent the same. LCM of 1 and 3 is 3.
Amount that Xavier spent
=
35 x 5 u
= 3 u
Amount that Ian spent
= 2 x 3 u
= 6 u
Amount that Ian had left
= 9 u - 6 u
= 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Price of the bracelet
= 3 u + 6 u
= 9 u
= 9 x 30
= $270
Answer(s): $270
