Wesley and Flynn had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their uncle. The ratio of the amount paid by Wesley to the amount paid by Flynn was 1 : 2. If Flynn was left with $84 and Wesley had spent
25 of his money, how much was the ring they bought?
|
Wesley |
Flynn |
Before |
5 u |
11 u |
Change |
- 2 u |
- 4 u |
Comparing the amounts spent |
- 1x2 |
- 2x2 |
After |
3 u |
84 |
The amount that Wesley spent is repeated. Make the amount that Wesley spent the same. LCM of 1 and 2 is 2.
Amount that Wesley spent
=
25 x 5 u
= 2 u
Amount that Flynn spent
= 2 x 2 u
= 4 u
Amount that Flynn had left
= 11 u - 4 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 12
= $72
Answer(s): $72