Seth and Reggie had some allowance in the ratio of 3 : 8. They shared some money to buy a ring for their best friend. The ratio of the amount paid by Seth to the amount paid by Reggie was 1 : 2. If Reggie was left with $60 and Seth had spent
23 of his money, how much was the ring they bought?
| |
Seth |
Reggie |
| Before |
3 u |
8 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
60 |
The amount that Seth spent is repeated. Make the amount that Seth spent the same. LCM of 1 and 2 is 2.
Amount that Seth spent
=
23 x 3 u
= 2 u
Amount that Reggie spent
= 2 x 2 u
= 4 u
Amount that Reggie had left
= 8 u - 4 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 15
= $90
Answer(s): $90
