Jack and Glen had some allowance in the ratio of 5 : 7. They shared some money to buy a ring for their nephew. The ratio of the amount paid by Jack to the amount paid by Glen was 1 : 2. If Glen was left with $78 and Jack had spent
25 of his money, how much was the ring they bought?
| |
Jack |
Glen |
| Before |
5 u |
7 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
78 |
The amount that Jack spent is repeated. Make the amount that Jack spent the same. LCM of 1 and 2 is 2.
Amount that Jack spent
=
25 x 5 u
= 2 u
Amount that Glen spent
= 2 x 2 u
= 4 u
Amount that Glen had left
= 7 u - 4 u
= 3 u
3 u = 78
1 u = 78 ÷ 3 = 26
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 26
= $156
Answer(s): $156
