Riordan and Nick had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their best friend. The ratio of the amount paid by Riordan to the amount paid by Nick was 1 : 2. If Nick was left with $147 and Riordan had spent
25 of his money, how much was the ring they bought?
| |
Riordan |
Nick |
| Before |
5 u |
11 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
147 |
The amount that Riordan spent is repeated. Make the amount that Riordan spent the same. LCM of 1 and 2 is 2.
Amount that Riordan spent
=
25 x 5 u
= 2 u
Amount that Nick spent
= 2 x 2 u
= 4 u
Amount that Nick had left
= 11 u - 4 u
= 7 u
7 u = 147
1 u = 147 ÷ 7 = 21
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 21
= $126
Answer(s): $126
