Flynn and Reggie had some allowance in the ratio of 3 : 11. They shared some money to buy a ring for their buddy. The ratio of the amount paid by Flynn to the amount paid by Reggie was 1 : 4. If Reggie was left with $39 and Flynn had spent
23 of his money, how much was the ring they bought?
|
Flynn |
Reggie |
Before |
3 u |
11 u |
Change |
- 2 u |
- 8 u |
Comparing the amounts spent |
- 1x2 |
- 4x2 |
After |
1 u |
39 |
The amount that Flynn spent is repeated. Make the amount that Flynn spent the same. LCM of 1 and 2 is 2.
Amount that Flynn spent
=
23 x 3 u
= 2 u
Amount that Reggie spent
= 4 x 2 u
= 8 u
Amount that Reggie had left
= 11 u - 8 u
= 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Price of the ring
= 2 u + 8 u
= 10 u
= 10 x 13
= $130
Answer(s): $130