Emily, Jean and Eva had candy canes in the ratio of 8 : 6 : 1. After Emily gave 33 candy canes to Jean and Eva, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Emily |
Jean |
Eva |
Total |
| Before |
8 u |
6 u |
1 u |
15 u |
| Change |
- 33 |
+ 33 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of candy canes
= 8 u + 6 u + 1 u
= 15 u
Number of candy canes that each had in the end
= 15 u ÷ 3
= 5 u
Number of candy canes that Emily gave to Jean and Eva
= 8 u - 5 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total number of candy canes
= 15 u
= 15 x 11
= 165
Answer(s): 165
