Caden and Ryan had some allowance in the ratio of 5 : 8. They shared some money to buy a ring for their nephew. The ratio of the amount paid by Caden to the amount paid by Ryan was 1 : 2. If Ryan was left with $60 and Caden had spent
35 of his money, how much was the ring they bought?
| |
Caden |
Ryan |
| Before |
5 u |
8 u |
| Change |
- 3 u |
- 6 u |
Comparing the
amounts spent |
- 1x3 |
- 2x3 |
| After |
2 u |
60 |
The amount that Caden spent is repeated. Make the amount that Caden spent the same. LCM of 1 and 3 is 3.
Amount that Caden spent
=
35 x 5 u
= 3 u
Amount that Ryan spent
= 2 x 3 u
= 6 u
Amount that Ryan had left
= 8 u - 6 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Price of the ring
= 3 u + 6 u
= 9 u
= 9 x 30
= $270
Answer(s): $270
