Cathy, Tammy and Natalie had jelly beans in the ratio of 8 : 4 : 3. After Cathy gave 51 jelly beans to Tammy and Natalie, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Cathy |
Tammy |
Natalie |
Total |
| Before |
8 u |
4 u |
3 u |
15 u |
| Change |
- 51 |
+ 51 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 8 u + 4 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 Cathy gave to Tammy and Natalie
= 8 u - 5 u
= 3 u
3 u = 51
1 u = 51 ÷ 3 = 17
Total number of jelly beans
= 15 u
= 15 x 17
= 255
Answer(s): 255
