Ian and Zane had some allowance in the ratio of 3 : 11. They shared some money to buy a ring for their niece. The ratio of the amount paid by Ian to the amount paid by Zane was 1 : 4. If Zane was left with $72 and Ian had spent
23 of his money, how much was the ring they bought?
| |
Ian |
Zane |
| Before |
3 u |
11 u |
| Change |
- 2 u |
- 8 u |
Comparing the
amounts spent |
- 1x2 |
- 4x2 |
| After |
1 u |
72 |
The amount that Ian spent is repeated. Make the amount that Ian spent the same. LCM of 1 and 2 is 2.
Amount that Ian spent
=
23 x 3 u
= 2 u
Amount that Zane spent
= 4 x 2 u
= 8 u
Amount that Zane had left
= 11 u - 8 u
= 3 u
3 u = 72
1 u = 72 ÷ 3 = 24
Price of the ring
= 2 u + 8 u
= 10 u
= 10 x 24
= $240
Answer(s): $240
