At first, Brandon, Pamela and Liam had some candy canes in the ratio 5 : 3 : 4 respectively. Brandon had 305 candy canes. Then he gave all his candy canes to Pamela and Liam. After receiving the candy canes from Brandon, Pamela and Liam had the same number of candy canes. How many candy canes did Pamela receive from Brandon?
|
Brandon |
Pamela |
Liam |
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 Pamela had in the end
= 12 u ÷ 2
= 6 u
Number of candy canes that Brandon had at first = 5 u
5 u = 305
1 u = 305 ÷ 5 = 61
Number of candy canes that Pamela received from Brandon
= 6 u - 3 u
= 3 u
= 3 x 61
= 183
Answer(s): 183