Gwen, Min and Shiyun had candy canes in the ratio of 11 : 6 : 1. After Gwen gave 20 candy canes to Min and Shiyun, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Gwen |
Min |
Shiyun |
Total |
| Before |
11 u |
6 u |
1 u |
18 u |
| Change |
- 20 |
+ 20 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of candy canes
= 11 u + 6 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 Gwen gave to Min and Shiyun
= 11 u - 6 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of candy canes
= 18 u
= 18 x 4
= 72
Answer(s): 72
