Shannon, Cathy and Hazel had chocolate bars in the ratio of 11 : 9 : 1. After Shannon gave 8 chocolate bars to Cathy and Hazel, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Shannon |
Cathy |
Hazel |
Total |
| Before |
11 u |
9 u |
1 u |
21 u |
| Change |
- 8 |
+ 8 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of chocolate bars
= 11 u + 9 u + 1 u
= 21 u
Number of chocolate bars that each had in the end
= 21 u ÷ 3
= 7 u
Number of chocolate bars that Shannon gave to Cathy and Hazel
= 11 u - 7 u
= 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Total number of chocolate bars
= 21 u
= 21 x 2
= 42
Answer(s): 42
