Tim and Caden had some allowance in the ratio of 3 : 10. They shared some money to buy a bracelet for their neighbour. The ratio of the amount paid by Tim to the amount paid by Caden was 1 : 4. If Caden was left with $40 and Tim had spent
23 of his money, how much was the bracelet they bought?
| |
Tim |
Caden |
| Before |
3 u |
10 u |
| Change |
- 2 u |
- 8 u |
Comparing the
amounts spent |
- 1x2 |
- 4x2 |
| After |
1 u |
40 |
The amount that Tim spent is repeated. Make the amount that Tim spent the same. LCM of 1 and 2 is 2.
Amount that Tim spent
=
23 x 3 u
= 2 u
Amount that Caden spent
= 4 x 2 u
= 8 u
Amount that Caden had left
= 10 u - 8 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Price of the bracelet
= 2 u + 8 u
= 10 u
= 10 x 20
= $200
Answer(s): $200
