Peter and Andy had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their cousin. The ratio of the amount paid by Peter to the amount paid by Andy was 1 : 3. If Andy was left with $145 and Peter had spent
25 of his money, how much was the ring they bought?
| |
Peter |
Andy |
| Before |
5 u |
11 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
3 u |
145 |
The amount that Peter spent is repeated. Make the amount that Peter spent the same. LCM of 1 and 2 is 2.
Amount that Peter spent
=
25 x 5 u
= 2 u
Amount that Andy spent
= 3 x 2 u
= 6 u
Amount that Andy had left
= 11 u - 6 u
= 5 u
5 u = 145
1 u = 145 ÷ 5 = 29
Price of the ring
= 2 u + 6 u
= 8 u
= 8 x 29
= $232
Answer(s): $232
