Neave and Jenson had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their niece. The ratio of the amount paid by Neave to the amount paid by Jenson was 1 : 4. If Jenson was left with $36 and Neave had spent
25 of his money, how much was the ring they bought?
| |
Neave |
Jenson |
| Before |
5 u |
11 u |
| Change |
- 2 u |
- 8 u |
Comparing the
amounts spent |
- 1x2 |
- 4x2 |
| After |
3 u |
36 |
The amount that Neave spent is repeated. Make the amount that Neave spent the same. LCM of 1 and 2 is 2.
Amount that Neave spent
=
25 x 5 u
= 2 u
Amount that Jenson spent
= 4 x 2 u
= 8 u
Amount that Jenson had left
= 11 u - 8 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Price of the ring
= 2 u + 8 u
= 10 u
= 10 x 12
= $120
Answer(s): $120
