Betty, Marion and Shiyun had jelly beans in the ratio of 10 : 3 : 2. After Betty gave 30 jelly beans to Marion and Shiyun, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Betty |
Marion |
Shiyun |
Total |
| Before |
10 u |
3 u |
2 u |
15 u |
| Change |
- 30 |
+ 30 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 10 u + 3 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 Betty gave to Marion and Shiyun
= 10 u - 5 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of jelly beans
= 15 u
= 15 x 6
= 90
Answer(s): 90
