Tina, Gillian and Elyse had candy canes in the ratio of 8 : 6 : 1. After Tina gave 36 candy canes to Gillian and Elyse, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Tina |
Gillian |
Elyse |
Total |
| Before |
8 u |
6 u |
1 u |
15 u |
| Change |
- 36 |
+ 36 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of candy canes
= 8 u + 6 u + 1 u
= 15 u
Number of candy canes that each had in the end
= 15 u ÷ 3
= 5 u
Number of candy canes that Tina gave to Gillian and Elyse
= 8 u - 5 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Total number of candy canes
= 15 u
= 15 x 12
= 180
Answer(s): 180
