Gabby, Shannon and Rachel had candy canes in the ratio of 10 : 7 : 1. After Gabby gave 76 candy canes to Shannon and Rachel, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Gabby |
Shannon |
Rachel |
Total |
| Before |
10 u |
7 u |
1 u |
18 u |
| Change |
- 76 |
+ 76 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of candy canes
= 10 u + 7 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 Gabby gave to Shannon and Rachel
= 10 u - 6 u
= 4 u
4 u = 76
1 u = 76 ÷ 4 = 19
Total number of candy canes
= 18 u
= 18 x 19
= 342
Answer(s): 342
