Hilda, Raeann and Emily had jelly beans in the ratio of 8 : 3 : 4. After Hilda gave 33 jelly beans to Raeann and Emily, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Hilda |
Raeann |
Emily |
Total |
| Before |
8 u |
3 u |
4 u |
15 u |
| Change |
- 33 |
+ 33 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 8 u + 3 u + 4 u
= 15 u
Number of jelly beans that each had in the end
= 15 u ÷ 3
= 5 u
Number of jelly beans that Hilda gave to Raeann and Emily
= 8 u - 5 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total number of jelly beans
= 15 u
= 15 x 11
= 165
Answer(s): 165
