Bryan and Paul had some allowance in the ratio of 5 : 11. They shared some money to buy a necklace for their nephew. The ratio of the amount paid by Bryan to the amount paid by Paul was 1 : 3. If Paul was left with $44 and Bryan had spent
35 of his money, how much was the necklace they bought?
| |
Bryan |
Paul |
| Before |
5 u |
11 u |
| Change |
- 3 u |
- 9 u |
Comparing the
amounts spent |
- 1x3 |
- 3x3 |
| After |
2 u |
44 |
The amount that Bryan spent is repeated. Make the amount that Bryan spent the same. LCM of 1 and 3 is 3.
Amount that Bryan spent
=
35 x 5 u
= 3 u
Amount that Paul spent
= 3 x 3 u
= 9 u
Amount that Paul had left
= 11 u - 9 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Price of the necklace
= 3 u + 9 u
= 12 u
= 12 x 22
= $264
Answer(s): $264
