Will and Jack had some allowance in the ratio of 5 : 8. They shared some money to buy a ring for their friend. The ratio of the amount paid by Will to the amount paid by Jack was 1 : 3. If Jack was left with $54 and Will had spent
25 of his money, how much was the ring they bought?
| |
Will |
Jack |
| Before |
5 u |
8 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
3 u |
54 |
The amount that Will spent is repeated. Make the amount that Will spent the same. LCM of 1 and 2 is 2.
Amount that Will spent
=
25 x 5 u
= 2 u
Amount that Jack spent
= 3 x 2 u
= 6 u
Amount that Jack had left
= 8 u - 6 u
= 2 u
2 u = 54
1 u = 54 ÷ 2 = 27
Price of the ring
= 2 u + 6 u
= 8 u
= 8 x 27
= $216
Answer(s): $216
