Xylia, Olivia and Rachel had jelly beans in the ratio of 11 : 5 : 2. After Xylia gave 95 jelly beans to Olivia and Rachel, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Xylia |
Olivia |
Rachel |
Total |
| Before |
11 u |
5 u |
2 u |
18 u |
| Change |
- 95 |
+ 95 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of jelly beans
= 11 u + 5 u + 2 u
= 18 u
Number of jelly beans that each had in the end
= 18 u ÷ 3
= 6 u
Number of jelly beans that Xylia gave to Olivia and Rachel
= 11 u - 6 u
= 5 u
5 u = 95
1 u = 95 ÷ 5 = 19
Total number of jelly beans
= 18 u
= 18 x 19
= 342
Answer(s): 342
