Vanessa, Jaslyn and Sarah had candy canes in the ratio of 11 : 2 : 2. After Vanessa gave 96 candy canes to Jaslyn and Sarah, the three of them had the same number of candy canes. Find the total number of candy canes the children had.
| |
Vanessa |
Jaslyn |
Sarah |
Total |
| Before |
11 u |
2 u |
2 u |
15 u |
| Change |
- 96 |
+ 96 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of candy canes
= 11 u + 2 u + 2 u
= 15 u
Number of candy canes that each had in the end
= 15 u ÷ 3
= 5 u
Number of candy canes that Vanessa gave to Jaslyn and Sarah
= 11 u - 5 u
= 6 u
6 u = 96
1 u = 96 ÷ 6 = 16
Total number of candy canes
= 15 u
= 15 x 16
= 240
Answer(s): 240
