Hazel, Rachel and Opal had jelly beans in the ratio of 8 : 3 : 1. After Hazel gave 16 jelly beans to Rachel and Opal, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Hazel |
Rachel |
Opal |
Total |
| Before |
8 u |
3 u |
1 u |
12 u |
| Change |
- 16 |
+ 16 |
|
| After |
4 u |
4 u |
4 u |
12 u |
Total number of jelly beans
= 8 u + 3 u + 1 u
= 12 u
Number of jelly beans that each had in the end
= 12 u ÷ 3
= 4 u
Number of jelly beans that Hazel gave to Rachel and Opal
= 8 u - 4 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Total number of jelly beans
= 12 u
= 12 x 4
= 48
Answer(s): 48
