Xandra, Marion and Tina had candy canes in the ratio of 7 : 4 : 1. After Xandra gave 30 candy canes to Marion and Tina, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Xandra |
Marion |
Tina |
Total |
| Before |
7 u |
4 u |
1 u |
12 u |
| Change |
- 30 |
+ 30 |
|
| After |
4 u |
4 u |
4 u |
12 u |
Total number of candy canes
= 7 u + 4 u + 1 u
= 12 u
Number of candy canes that each had in the end
= 12 u ÷ 3
= 4 u
Number of candy canes that Xandra gave to Marion and Tina
= 7 u - 4 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of candy canes
= 12 u
= 12 x 10
= 120
Answer(s): 120
