Kathy, Lucy and Yen had candy canes in the ratio of 12 : 5 : 4. After Kathy gave 60 candy canes to Lucy and Yen, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Kathy |
Lucy |
Yen |
Total |
| Before |
12 u |
5 u |
4 u |
21 u |
| Change |
- 60 |
+ 60 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of candy canes
= 12 u + 5 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 Kathy gave to Lucy and Yen
= 12 u - 7 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Total number of candy canes
= 21 u
= 21 x 12
= 252
Answer(s): 252
