Eva, Zara and Diana had candy canes in the ratio of 11 : 4 : 3. After Eva gave 15 candy canes to Zara and Diana, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Eva |
Zara |
Diana |
Total |
| Before |
11 u |
4 u |
3 u |
18 u |
| Change |
- 15 |
+ 15 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of candy canes
= 11 u + 4 u + 3 u
= 18 u
Number of candy canes that each had in the end
= 18 u ÷ 3
= 6 u
Number of candy canes that Eva gave to Zara and Diana
= 11 u - 6 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of candy canes
= 18 u
= 18 x 3
= 54
Answer(s): 54
