Tim and Ethan had some allowance in the ratio of 5 : 8. They shared some money to buy a bracelet for their auntie. The ratio of the amount paid by Tim to the amount paid by Ethan was 1 : 3. If Ethan was left with $26 and Tim had spent
25 of his money, how much was the bracelet they bought?
| |
Tim |
Ethan |
| Before |
5 u |
8 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
3 u |
26 |
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
=
25 x 5 u
= 2 u
Amount that Ethan spent
= 3 x 2 u
= 6 u
Amount that Ethan had left
= 8 u - 6 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Price of the bracelet
= 2 u + 6 u
= 8 u
= 8 x 13
= $104
Answer(s): $104
