in a school 2/7 part of the students are boys. if number of girls are more than boys find the total number of students
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Answer:
The ratio of the number of boys to girls is 7:5.
We make this part to part ratio to part to whole ratio by using the property
a:b⇒
a+b
a
:
a+b
b
∴ Ratio of the boys to the total students
=
7+5
7
=
12
7
and the ratio of the girls to the total students
7+5
5
=
12
5
To get the answer we would first find out the actual number of boys and girls in the school
For this we multiply the total number with their respective ratios
∴ Number of boys=
12
7
×720=7×60=420
and Number of girls=
12
5
×720=5×60=300
Now we need to obtain the boys to girls ratio as 1:1 For this the number of boys and girls should be equal This can be obtained by adding 420−300=120 girls in the school
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