Eric and Tommy had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their niece. The ratio of the amount paid by Eric to the amount paid by Tommy was 1 : 3. If Tommy was left with $52 and Eric had spent
35 of his money, how much was the ring they bought?
| |
Eric |
Tommy |
| Before |
5 u |
11 u |
| Change |
- 3 u |
- 9 u |
Comparing the
amounts spent |
- 1x3 |
- 3x3 |
| After |
2 u |
52 |
The amount that Eric spent is repeated. Make the amount that Eric spent the same. LCM of 1 and 3 is 3.
Amount that Eric spent
=
35 x 5 u
= 3 u
Amount that Tommy spent
= 3 x 3 u
= 9 u
Amount that Tommy had left
= 11 u - 9 u
= 2 u
2 u = 52
1 u = 52 ÷ 2 = 26
Price of the ring
= 3 u + 9 u
= 12 u
= 12 x 26
= $312
Answer(s): $312
