At first, Jeremy, Tiffany and Zane had some candy canes in the ratio 5 : 3 : 4 respectively. Jeremy had 365 candy canes. Then he gave all his candy canes to Tiffany and Zane. After receiving the candy canes from Jeremy, Tiffany and Zane had the same number of candy canes. How many candy canes did Tiffany receive from Jeremy?
|
Jeremy |
Tiffany |
Zane |
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 Tiffany had in the end
= 12 u ÷ 2
= 6 u
Number of candy canes that Jeremy had at first = 5 u
5 u = 365
1 u = 365 ÷ 5 = 73
Number of candy canes that Tiffany received from Jeremy
= 6 u - 3 u
= 3 u
= 3 x 73
= 219
Answer(s): 219