Penelope, Shannon and Jaslyn had candy canes in the ratio of 10 : 2 : 3. After Penelope gave 20 candy canes to Shannon and Jaslyn, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
|
Penelope |
Shannon |
Jaslyn |
Total |
Before |
10 u |
2 u |
3 u |
15 u |
Change |
- 20 |
+ 20 |
|
After |
5 u |
5 u |
5 u |
15 u |
Total number of candy canes
= 10 u + 2 u + 3 u
= 15 u
Number of candy canes that each had in the end
= 15 u ÷ 3
= 5 u
Number of candy canes that Penelope gave to Shannon and Jaslyn
= 10 u - 5 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of candy canes
= 15 u
= 15 x 4
= 60
Answer(s): 60