Valen and Caden had some allowance in the ratio of 3 : 11. They shared some money to buy a bracelet for their neighbour. The ratio of the amount paid by Valen to the amount paid by Caden was 1 : 3. If Caden was left with $80 and Valen had spent
23 of his money, how much was the bracelet they bought?
| |
Valen |
Caden |
| Before |
3 u |
11 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
1 u |
80 |
The amount that Valen spent is repeated. Make the amount that Valen spent the same. LCM of 1 and 2 is 2.
Amount that Valen spent
=
23 x 3 u
= 2 u
Amount that Caden spent
= 3 x 2 u
= 6 u
Amount that Caden had left
= 11 u - 6 u
= 5 u
5 u = 80
1 u = 80 ÷ 5 = 16
Price of the bracelet
= 2 u + 6 u
= 8 u
= 8 x 16
= $128
Answer(s): $128
