Jenson and Zeph had some allowance in the ratio of 3 : 11. They shared some money to buy a ring for their cousin. The ratio of the amount paid by Jenson to the amount paid by Zeph was 1 : 2. If Zeph was left with $168 and Jenson had spent
23 of his money, how much was the ring they bought?
| |
Jenson |
Zeph |
| Before |
3 u |
11 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
168 |
The amount that Jenson spent is repeated. Make the amount that Jenson spent the same. LCM of 1 and 2 is 2.
Amount that Jenson spent
=
23 x 3 u
= 2 u
Amount that Zeph spent
= 2 x 2 u
= 4 u
Amount that Zeph had left
= 11 u - 4 u
= 7 u
7 u = 168
1 u = 168 ÷ 7 = 24
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 24
= $144
Answer(s): $144
