Refer to the below data table and answer the following question.
Division / Standard Boys Girls
Division A / Standard 5 15 15
Division B / Standard 5 35 40
Division C / Standard 5 30 15
Division A / Standard 6 10 25
Division B / Standard 6 20 40
Division C / Standard 6 30 30
What is the overall ratio of boys to girls across all divisions and standards?
- A33:28
- B33:34
- C34:33
- D28:33
Solution & Step-by-step Explanation
To find the ratio of boys to girls, we first calculate the total number of boys and the total number of girls.
Total Boys=15+35+30+10+20+30=140
Total Girls=15+40+15+25+40+30=165
Now, compute the ratio of boys to girls:
Ratio=
165
140
Divide both numbers by their common factor, 5:
Ratio=
165÷5
140÷5
=
33
28
Therefore, the ratio is 28:33.
Total Boys=15+35+30+10+20+30=140
Total Girls=15+40+15+25+40+30=165
Now, compute the ratio of boys to girls:
Ratio=
165
140
Divide both numbers by their common factor, 5:
Ratio=
165÷5
140÷5
=
33
28
Therefore, the ratio is 28:33.