Ian and Simon had some allowance in the ratio of 6 : 7. They shared some money to buy a ring for their niece. The ratio of the amount paid by Ian to the amount paid by Simon was 1 : 2. If Simon was left with $87 and Ian had spent
13 of his money, how much was the ring they bought?
|
Ian |
Simon |
Before |
6 u |
7 u |
Change |
- 2 u |
- 4 u |
Comparing the amounts spent |
- 1x2 |
- 2x2 |
After |
4 u |
87 |
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
=
13 x 6 u
= 2 u
Amount that Simon spent
= 2 x 2 u
= 4 u
Amount that Simon had left
= 7 u - 4 u
= 3 u
3 u = 87
1 u = 87 ÷ 3 = 29
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 29
= $174
Answer(s): $174