Nick and Cody had some allowance in the ratio of 3 : 8. They shared some money to buy a necklace for their nephew. The ratio of the amount paid by Nick to the amount paid by Cody was 1 : 2. If Cody was left with $120 and Nick had spent
23 of his money, how much was the necklace they bought?
| |
Nick |
Cody |
| Before |
3 u |
8 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
120 |
The amount that Nick spent is repeated. Make the amount that Nick spent the same. LCM of 1 and 2 is 2.
Amount that Nick spent
=
23 x 3 u
= 2 u
Amount that Cody spent
= 2 x 2 u
= 4 u
Amount that Cody had left
= 8 u - 4 u
= 4 u
4 u = 120
1 u = 120 ÷ 4 = 30
Price of the necklace
= 2 u + 4 u
= 6 u
= 6 x 30
= $180
Answer(s): $180
