Emily, Shiyun and Gem had candy canes in the ratio of 11 : 3 : 4. After Emily gave 75 candy canes to Shiyun and Gem, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Emily |
Shiyun |
Gem |
Total |
| Before |
11 u |
3 u |
4 u |
18 u |
| Change |
- 75 |
+ 75 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of candy canes
= 11 u + 3 u + 4 u
= 18 u
Number of candy canes that each had in the end
= 18 u ÷ 3
= 6 u
Number of candy canes that Emily gave to Shiyun and Gem
= 11 u - 6 u
= 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Total number of candy canes
= 18 u
= 18 x 15
= 270
Answer(s): 270
