Shannon, Yoko and Gillian had jelly beans in the ratio of 10 : 4 : 1. After Shannon gave 100 jelly beans to Yoko and Gillian, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Shannon |
Yoko |
Gillian |
Total |
| Before |
10 u |
4 u |
1 u |
15 u |
| Change |
- 100 |
+ 100 |
|
| 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 Shannon gave to Yoko and Gillian
= 10 u - 5 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Total number of jelly beans
= 15 u
= 15 x 20
= 300
Answer(s): 300
