Emma, Gwen and Xandra had candy canes in the ratio of 7 : 2 : 3. After Emma gave 24 candy canes to Gwen and Xandra, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Emma |
Gwen |
Xandra |
Total |
| Before |
7 u |
2 u |
3 u |
12 u |
| Change |
- 24 |
+ 24 |
|
| After |
4 u |
4 u |
4 u |
12 u |
Total number of candy canes
= 7 u + 2 u + 3 u
= 12 u
Number of candy canes that each had in the end
= 12 u ÷ 3
= 4 u
Number of candy canes that Emma gave to Gwen and Xandra
= 7 u - 4 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total number of candy canes
= 12 u
= 12 x 8
= 96
Answer(s): 96
