Anna, Gwen and Emily had jelly beans in the ratio of 8 : 3 : 1. After Anna gave 32 jelly beans to Gwen and Emily, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Anna |
Gwen |
Emily |
Total |
| Before |
8 u |
3 u |
1 u |
12 u |
| Change |
- 32 |
+ 32 |
|
| 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 Anna gave to Gwen and Emily
= 8 u - 4 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Total number of jelly beans
= 12 u
= 12 x 8
= 96
Answer(s): 96
