Sarah, Ivory and Jane had candy canes in the ratio of 11 : 9 : 1. After Sarah gave 16 candy canes to Ivory and Jane, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Sarah |
Ivory |
Jane |
Total |
| Before |
11 u |
9 u |
1 u |
21 u |
| Change |
- 16 |
+ 16 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of candy canes
= 11 u + 9 u + 1 u
= 21 u
Number of candy canes that each had in the end
= 21 u ÷ 3
= 7 u
Number of candy canes that Sarah gave to Ivory and Jane
= 11 u - 7 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Total number of candy canes
= 21 u
= 21 x 4
= 84
Answer(s): 84
