Caden and Owen had some allowance in the ratio of 5 : 9. They shared some money to buy a ring for their friend. The ratio of the amount paid by Caden to the amount paid by Owen was 1 : 2. If Owen was left with $75 and Caden had spent
25 of his money, how much was the ring they bought?
| |
Caden |
Owen |
| Before |
5 u |
9 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
75 |
The amount that Caden spent is repeated. Make the amount that Caden spent the same. LCM of 1 and 2 is 2.
Amount that Caden spent
=
25 x 5 u
= 2 u
Amount that Owen spent
= 2 x 2 u
= 4 u
Amount that Owen had left
= 9 u - 4 u
= 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 15
= $90
Answer(s): $90
