Sam and Japheth had some allowance in the ratio of 5 : 8. They shared some money to buy a bracelet for their buddy. The ratio of the amount paid by Sam to the amount paid by Japheth was 1 : 2. If Japheth was left with $56 and Sam had spent
35 of his money, how much was the bracelet they bought?
| |
Sam |
Japheth |
| Before |
5 u |
8 u |
| Change |
- 3 u |
- 6 u |
Comparing the
amounts spent |
- 1x3 |
- 2x3 |
| After |
2 u |
56 |
The amount that Sam spent is repeated. Make the amount that Sam spent the same. LCM of 1 and 3 is 3.
Amount that Sam spent
=
35 x 5 u
= 3 u
Amount that Japheth spent
= 2 x 3 u
= 6 u
Amount that Japheth had left
= 8 u - 6 u
= 2 u
2 u = 56
1 u = 56 ÷ 2 = 28
Price of the bracelet
= 3 u + 6 u
= 9 u
= 9 x 28
= $252
Answer(s): $252
