At first, Owen, Lynn and Warren had some candy canes in the ratio 5 : 3 : 4 respectively. Owen had 285 candy canes. Then he gave all his candy canes to Lynn and Warren. After receiving the candy canes from Owen, Lynn and Warren had the same number of candy canes. How many candy canes did Lynn receive from Owen?
|
Owen |
Lynn |
Warren |
Total |
Before |
5x1 = 5 u |
3x1 = 3 u |
4x1 = 4 u |
12x1 = 12 u |
Change |
- 5 u |
+ 5 u |
|
After |
0 |
1x6 = 6 u |
1x6 = 6 u |
2x6 = 12 u |
The total number of candy canes remains unchanged. Make the total number of candy canes the same. LCM of 2 and 12 is 12.
Total number of candy canes = 12 u
Number of candy canes that Lynn had in the end
= 12 u ÷ 2
= 6 u
Number of candy canes that Owen had at first = 5 u
5 u = 285
1 u = 285 ÷ 5 = 57
Number of candy canes that Lynn received from Owen
= 6 u - 3 u
= 3 u
= 3 x 57
= 171
Answer(s): 171