Neave and Elijah had some allowance in the ratio of 3 : 10. They shared some money to buy a ring for their friend. The ratio of the amount paid by Neave to the amount paid by Elijah was 1 : 3. If Elijah was left with $76 and Neave had spent
23 of his money, how much was the ring they bought?
| |
Neave |
Elijah |
| Before |
3 u |
10 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
1 u |
76 |
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
=
23 x 3 u
= 2 u
Amount that Elijah spent
= 3 x 2 u
= 6 u
Amount that Elijah had left
= 10 u - 6 u
= 4 u
4 u = 76
1 u = 76 ÷ 4 = 19
Price of the ring
= 2 u + 6 u
= 8 u
= 8 x 19
= $152
Answer(s): $152
