Joelle, Natalie and Xylia had jelly beans in the ratio of 10 : 4 : 1. After Joelle gave 90 jelly beans to Natalie and Xylia, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Joelle |
Natalie |
Xylia |
Total |
| Before |
10 u |
4 u |
1 u |
15 u |
| Change |
- 90 |
+ 90 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 10 u + 4 u + 1 u
= 15 u
Number of jelly beans that each had in the end
= 15 u ÷ 3
= 5 u
Number of jelly beans that Joelle gave to Natalie and Xylia
= 10 u - 5 u
= 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Total number of jelly beans
= 15 u
= 15 x 18
= 270
Answer(s): 270
