Cody and Gabriel had some allowance in the ratio of 3 : 10. They shared some money to buy a bracelet for their mother. The ratio of the amount paid by Cody to the amount paid by Gabriel was 1 : 2. If Gabriel was left with $180 and Cody had spent
23 of his money, how much was the bracelet they bought?
| |
Cody |
Gabriel |
| Before |
3 u |
10 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
180 |
The amount that Cody spent is repeated. Make the amount that Cody spent the same. LCM of 1 and 2 is 2.
Amount that Cody spent
=
23 x 3 u
= 2 u
Amount that Gabriel spent
= 2 x 2 u
= 4 u
Amount that Gabriel had left
= 10 u - 4 u
= 6 u
6 u = 180
1 u = 180 ÷ 6 = 30
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 30
= $180
Answer(s): $180
