Zane and Albert had some allowance in the ratio of 3 : 7. They shared some money to buy a ring for their neighbour. The ratio of the amount paid by Zane to the amount paid by Albert was 1 : 2. If Albert was left with $84 and Zane had spent
23 of his money, how much was the ring they bought?
| |
Zane |
Albert |
| Before |
3 u |
7 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
84 |
The amount that Zane spent is repeated. Make the amount that Zane spent the same. LCM of 1 and 2 is 2.
Amount that Zane spent
=
23 x 3 u
= 2 u
Amount that Albert spent
= 2 x 2 u
= 4 u
Amount that Albert had left
= 7 u - 4 u
= 3 u
3 u = 84
1 u = 84 ÷ 3 = 28
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 28
= $168
Answer(s): $168
