Xuan, Linda and Wendy had candy canes in the ratio of 12 : 5 : 1. After Xuan gave 102 candy canes to Linda and Wendy, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Xuan |
Linda |
Wendy |
Total |
| Before |
12 u |
5 u |
1 u |
18 u |
| Change |
- 102 |
+ 102 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of candy canes
= 12 u + 5 u + 1 u
= 18 u
Number of candy canes that each had in the end
= 18 u ÷ 3
= 6 u
Number of candy canes that Xuan gave to Linda and Wendy
= 12 u - 6 u
= 6 u
6 u = 102
1 u = 102 ÷ 6 = 17
Total number of candy canes
= 18 u
= 18 x 17
= 306
Answer(s): 306
