Kylie, Winnie and Anna had jelly beans in the ratio of 11 : 2 : 2. After Kylie gave 42 jelly beans to Winnie and Anna, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Kylie |
Winnie |
Anna |
Total |
| Before |
11 u |
2 u |
2 u |
15 u |
| Change |
- 42 |
+ 42 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 11 u + 2 u + 2 u
= 15 u
Number of jelly beans that each had in the end
= 15 u ÷ 3
= 5 u
Number of jelly beans that Kylie gave to Winnie and Anna
= 11 u - 5 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Total number of jelly beans
= 15 u
= 15 x 7
= 105
Answer(s): 105
