Mary, Kimberly and Penelope had jelly beans in the ratio of 8 : 5 : 2. After Mary gave 57 jelly beans to Kimberly and Penelope, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Mary |
Kimberly |
Penelope |
Total |
| Before |
8 u |
5 u |
2 u |
15 u |
| Change |
- 57 |
+ 57 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 8 u + 5 u + 2 u
= 15 u
Number of jelly beans that each had in the end
= 15 u ÷ 3
= 5 u
Number of jelly beans that Mary gave to Kimberly and Penelope
= 8 u - 5 u
= 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Total number of jelly beans
= 15 u
= 15 x 19
= 285
Answer(s): 285
