Sarah, Kathy and Lynn had jelly beans in the ratio of 9 : 4 : 2. After Sarah gave 52 jelly beans to Kathy and Lynn, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Sarah |
Kathy |
Lynn |
Total |
| Before |
9 u |
4 u |
2 u |
15 u |
| Change |
- 52 |
+ 52 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 9 u + 4 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 Sarah gave to Kathy and Lynn
= 9 u - 5 u
= 4 u
4 u = 52
1 u = 52 ÷ 4 = 13
Total number of jelly beans
= 15 u
= 15 x 13
= 195
Answer(s): 195
