Julian and Vaidev 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 Julian to the amount paid by Vaidev was 1 : 3. If Vaidev was left with $84 and Julian had spent
25 of his money, how much was the bracelet they bought?
| |
Julian |
Vaidev |
| Before |
5 u |
9 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
3 u |
84 |
The amount that Julian spent is repeated. Make the amount that Julian spent the same. LCM of 1 and 2 is 2.
Amount that Julian spent
=
25 x 5 u
= 2 u
Amount that Vaidev spent
= 3 x 2 u
= 6 u
Amount that Vaidev had left
= 9 u - 6 u
= 3 u
3 u = 84
1 u = 84 ÷ 3 = 28
Price of the bracelet
= 2 u + 6 u
= 8 u
= 8 x 28
= $224
Answer(s): $224
