Emma, Kimberly and Natalie had candy canes in the ratio of 7 : 3 : 2. After Emma gave 27 candy canes to Kimberly and Natalie, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Emma |
Kimberly |
Natalie |
Total |
| Before |
7 u |
3 u |
2 u |
12 u |
| Change |
- 27 |
+ 27 |
|
| After |
4 u |
4 u |
4 u |
12 u |
Total number of candy canes
= 7 u + 3 u + 2 u
= 12 u
Number of candy canes that each had in the end
= 12 u ÷ 3
= 4 u
Number of candy canes that Emma gave to Kimberly and Natalie
= 7 u - 4 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Total number of candy canes
= 12 u
= 12 x 9
= 108
Answer(s): 108
