Penelope, Xylia and Fiona had jelly beans in the ratio of 11 : 6 : 1. After Penelope gave 45 jelly beans to Xylia and Fiona, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Penelope |
Xylia |
Fiona |
Total |
| Before |
11 u |
6 u |
1 u |
18 u |
| Change |
- 45 |
+ 45 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of jelly beans
= 11 u + 6 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 Penelope gave to Xylia and Fiona
= 11 u - 6 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Total number of jelly beans
= 18 u
= 18 x 9
= 162
Answer(s): 162
