Ivory, Esther and Fanny had jelly beans in the ratio of 12 : 5 : 1. After Ivory gave 96 jelly beans to Esther and Fanny, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Ivory |
Esther |
Fanny |
Total |
| Before |
12 u |
5 u |
1 u |
18 u |
| Change |
- 96 |
+ 96 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of jelly beans
= 12 u + 5 u + 1 u
= 18 u
Number of jelly beans that each had in the end
= 18 u ÷ 3
= 6 u
Number of jelly beans that Ivory gave to Esther and Fanny
= 12 u - 6 u
= 6 u
6 u = 96
1 u = 96 ÷ 6 = 16
Total number of jelly beans
= 18 u
= 18 x 16
= 288
Answer(s): 288
