Kathy, Zara and Emily had jelly beans in the ratio of 10 : 2 : 3. After Kathy gave 55 jelly beans to Zara and Emily, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Kathy |
Zara |
Emily |
Total |
| Before |
10 u |
2 u |
3 u |
15 u |
| Change |
- 55 |
+ 55 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 10 u + 2 u + 3 u
= 15 u
Number of jelly beans that each had in the end
= 15 u ÷ 3
= 5 u
Number of jelly beans that Kathy gave to Zara and Emily
= 10 u - 5 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Total number of jelly beans
= 15 u
= 15 x 11
= 165
Answer(s): 165
