Mary, Jean and Gabby had chocolate bars in the ratio of 12 : 2 : 1. After Mary gave 14 chocolate bars to Jean and Gabby, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
|
Mary |
Jean |
Gabby |
Total |
Before |
12 u |
2 u |
1 u |
15 u |
Change |
- 14 |
+ 14 |
|
After |
5 u |
5 u |
5 u |
15 u |
Total number of chocolate bars
= 12 u + 2 u + 1 u
= 15 u
Number of chocolate bars that each had in the end
= 15 u ÷ 3
= 5 u
Number of chocolate bars that Mary gave to Jean and Gabby
= 12 u - 5 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Total number of chocolate bars
= 15 u
= 15 x 2
= 30
Answer(s): 30