Paul and Cody had some allowance in the ratio of 5 : 8. They shared some money to buy a bracelet for their cousin. The ratio of the amount paid by Paul to the amount paid by Cody was 1 : 3. If Cody was left with $50 and Paul had spent
25 of his money, how much was the bracelet they bought?
| |
Paul |
Cody |
| Before |
5 u |
8 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
3 u |
50 |
The amount that Paul spent is repeated. Make the amount that Paul spent the same. LCM of 1 and 2 is 2.
Amount that Paul spent
=
25 x 5 u
= 2 u
Amount that Cody spent
= 3 x 2 u
= 6 u
Amount that Cody had left
= 8 u - 6 u
= 2 u
2 u = 50
1 u = 50 ÷ 2 = 25
Price of the bracelet
= 2 u + 6 u
= 8 u
= 8 x 25
= $200
Answer(s): $200
