Henry and Cole had some allowance in the ratio of 6 : 7. They shared some money to buy a ring for their friend. The ratio of the amount paid by Henry to the amount paid by Cole was 1 : 2. If Cole was left with $72 and Henry had spent
13 of his money, how much was the ring they bought?
| |
Henry |
Cole |
| Before |
6 u |
7 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
4 u |
72 |
The amount that Henry spent is repeated. Make the amount that Henry spent the same. LCM of 1 and 2 is 2.
Amount that Henry spent
=
13 x 6 u
= 2 u
Amount that Cole spent
= 2 x 2 u
= 4 u
Amount that Cole had left
= 7 u - 4 u
= 3 u
3 u = 72
1 u = 72 ÷ 3 = 24
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 24
= $144
Answer(s): $144
