Neave and Bobby had some allowance in the ratio of 3 : 8. They shared some money to buy a necklace for their uncle. The ratio of the amount paid by Neave to the amount paid by Bobby was 1 : 3. If Bobby was left with $38 and Neave had spent
23 of his money, how much was the necklace they bought?
| |
Neave |
Bobby |
| Before |
3 u |
8 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
1 u |
38 |
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 Bobby spent
= 3 x 2 u
= 6 u
Amount that Bobby had left
= 8 u - 6 u
= 2 u
2 u = 38
1 u = 38 ÷ 2 = 19
Price of the necklace
= 2 u + 6 u
= 8 u
= 8 x 19
= $152
Answer(s): $152
