Olivia, Dana and Kimberly had chocolate bars in the ratio of 11 : 7 : 3. After Olivia gave 20 chocolate bars to Dana and Kimberly, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Olivia |
Dana |
Kimberly |
Total |
| Before |
11 u |
7 u |
3 u |
21 u |
| Change |
- 20 |
+ 20 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of chocolate bars
= 11 u + 7 u + 3 u
= 21 u
Number of chocolate bars that each had in the end
= 21 u ÷ 3
= 7 u
Number of chocolate bars that Olivia gave to Dana and Kimberly
= 11 u - 7 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Total number of chocolate bars
= 21 u
= 21 x 5
= 105
Answer(s): 105
