Gwen, Wendy and Hazel had chocolate bars in the ratio of 11 : 6 : 1. After Gwen gave 100 chocolate bars to Wendy and Hazel, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Gwen |
Wendy |
Hazel |
Total |
| Before |
11 u |
6 u |
1 u |
18 u |
| Change |
- 100 |
+ 100 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of chocolate bars
= 11 u + 6 u + 1 u
= 18 u
Number of chocolate bars that each had in the end
= 18 u ÷ 3
= 6 u
Number of chocolate bars that Gwen gave to Wendy and Hazel
= 11 u - 6 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Total number of chocolate bars
= 18 u
= 18 x 20
= 360
Answer(s): 360
