Nick and Sam had some allowance in the ratio of 5 : 11. They shared some money to buy a necklace for their father. The ratio of the amount paid by Nick to the amount paid by Sam was 1 : 4. If Sam was left with $39 and Nick had spent
25 of his money, how much was the necklace they bought?
| |
Nick |
Sam |
| Before |
5 u |
11 u |
| Change |
- 2 u |
- 8 u |
Comparing the
amounts spent |
- 1x2 |
- 4x2 |
| After |
3 u |
39 |
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
=
25 x 5 u
= 2 u
Amount that Sam spent
= 4 x 2 u
= 8 u
Amount that Sam had left
= 11 u - 8 u
= 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Price of the necklace
= 2 u + 8 u
= 10 u
= 10 x 13
= $130
Answer(s): $130
