Xylia, Xandra and Gillian had candy canes in the ratio of 11 : 6 : 4. After Xylia gave 48 candy canes to Xandra and Gillian, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Xylia |
Xandra |
Gillian |
Total |
| Before |
11 u |
6 u |
4 u |
21 u |
| Change |
- 48 |
+ 48 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of candy canes
= 11 u + 6 u + 4 u
= 21 u
Number of candy canes that each had in the end
= 21 u ÷ 3
= 7 u
Number of candy canes that Xylia gave to Xandra and Gillian
= 11 u - 7 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Total number of candy canes
= 21 u
= 21 x 12
= 252
Answer(s): 252
