Cole and Asher had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their father. The ratio of the amount paid by Cole to the amount paid by Asher was 1 : 3. If Asher was left with $60 and Cole had spent
35 of his money, how much was the ring they bought?
| |
Cole |
Asher |
| Before |
5 u |
11 u |
| Change |
- 3 u |
- 9 u |
Comparing the
amounts spent |
- 1x3 |
- 3x3 |
| After |
2 u |
60 |
The amount that Cole spent is repeated. Make the amount that Cole spent the same. LCM of 1 and 3 is 3.
Amount that Cole spent
=
35 x 5 u
= 3 u
Amount that Asher spent
= 3 x 3 u
= 9 u
Amount that Asher had left
= 11 u - 9 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Price of the ring
= 3 u + 9 u
= 12 u
= 12 x 30
= $360
Answer(s): $360
