in class 10th of a school the ratio of the number of boys to that of the girls is 4:3 if there were 20 more boys and 12 less girls then the ratio would have been 2:1 how many students were there in the class
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Answered by
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To calculate the number of students in class at first we have to set up equation then solve to find out the value of x.
- Now calculate the no of boys and girls
- Now calculate total students
Answered by
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Given:-
- The ratio of the number of boys to that of the girls is 4:3 in class 10th of a school.
- If there were 20 more boys and 12 less girls then the ratio would have been 2:1.
To Find:-
- No. of students in the the class
Solution:-
Let no. of boys and girls be 4x and 3x respectively.
As it's given that,
- 4x + 20 : 3x - 12 = 2 : 1
On Solving this,
On Cross Multiplication,
- No. of boys = 4x = 4×22 = 88
- No. of Girls = 3x = 3×2 = 66
⟹ Total Students = No. of (Boys + Girls)
⟹ Total Students = (88 + 66)
⟹ Total Students = 154
Hence, There are 154 students in the class 10 of the school.
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