Ian and Sam had some allowance in the ratio of 3 : 8. They shared some money to buy a bracelet for their neighbour. The ratio of the amount paid by Ian to the amount paid by Sam was 1 : 3. If Sam was left with $30 and Ian had spent
23 of his money, how much was the bracelet they bought?
| |
Ian |
Sam |
| Before |
3 u |
8 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
1 u |
30 |
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 Sam spent
= 3 x 2 u
= 6 u
Amount that Sam had left
= 8 u - 6 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Price of the bracelet
= 2 u + 6 u
= 8 u
= 8 x 15
= $120
Answer(s): $120
