Anna, Diana and Gabby had jelly beans in the ratio of 11 : 4 : 3. After Anna gave 100 jelly beans to Diana and Gabby, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Anna |
Diana |
Gabby |
Total |
| Before |
11 u |
4 u |
3 u |
18 u |
| Change |
- 100 |
+ 100 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of jelly beans
= 11 u + 4 u + 3 u
= 18 u
Number of jelly beans that each had in the end
= 18 u ÷ 3
= 6 u
Number of jelly beans that Anna gave to Diana and Gabby
= 11 u - 6 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Total number of jelly beans
= 18 u
= 18 x 20
= 360
Answer(s): 360
