Valen and Cody had some allowance in the ratio of 3 : 7. They shared some money to buy a bracelet for their neighbour. The ratio of the amount paid by Valen to the amount paid by Cody was 1 : 2. If Cody was left with $30 and Valen had spent
23 of his money, how much was the bracelet they bought?
| |
Valen |
Cody |
| Before |
3 u |
7 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
30 |
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 Cody spent
= 2 x 2 u
= 4 u
Amount that Cody had left
= 7 u - 4 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 10
= $60
Answer(s): $60
