Cody and Oscar had some allowance in the ratio of 5 : 9. They shared some money to buy a ring for their neighbour. The ratio of the amount paid by Cody to the amount paid by Oscar was 1 : 2. If Oscar was left with $80 and Cody had spent
25 of his money, how much was the ring they bought?
| |
Cody |
Oscar |
| Before |
5 u |
9 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
80 |
The amount that Cody spent is repeated. Make the amount that Cody spent the same. LCM of 1 and 2 is 2.
Amount that Cody spent
=
25 x 5 u
= 2 u
Amount that Oscar spent
= 2 x 2 u
= 4 u
Amount that Oscar had left
= 9 u - 4 u
= 5 u
5 u = 80
1 u = 80 ÷ 5 = 16
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 16
= $96
Answer(s): $96
