Elyse, Nora and Tiffany had jelly beans in the ratio of 12 : 7 : 2. After Elyse gave 85 jelly beans to Nora and Tiffany, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Elyse |
Nora |
Tiffany |
Total |
| Before |
12 u |
7 u |
2 u |
21 u |
| Change |
- 85 |
+ 85 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of jelly beans
= 12 u + 7 u + 2 u
= 21 u
Number of jelly beans that each had in the end
= 21 u ÷ 3
= 7 u
Number of jelly beans that Elyse gave to Nora and Tiffany
= 12 u - 7 u
= 5 u
5 u = 85
1 u = 85 ÷ 5 = 17
Total number of jelly beans
= 21 u
= 21 x 17
= 357
Answer(s): 357
