We are provided with the information that in a class of 42 students, the number of girls is 1/6 of the boys. We are asked to form an equation to find the number of boys and girls.
Using the given information we have —
Total number of students = 42
number of girls = 1/6 of the boys
Let's call 'x' be the number of boys.
number of girls = 1/6 × x = x/6
According to the question,
Number of boys + Number of girls = Total number of students
Substitute the values,
[tex]\implies[/tex] x + x/6 = 42
[tex]\implies[/tex] (6x + x)/6 = 42
[tex]\implies[/tex] 7x/6 = 42
[tex]\implies[/tex] 7x = 42*6
Divide by 7 on both sides,
[tex]\implies[/tex] 7x/7 = 42/7 × 6
[tex]\implies[/tex] x = 6 × 6
On solving we get,
[tex]\implies[/tex] x = 36
Therefore,
number of boys = x = 36
number of girls = x/6 = 36/6 = 6
Hence, the number of boys will be 36 and girls will be 6.
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Verified answer
Answer:
no of boys are 36 and no of girls are 6
Step-by-step explanation:
Let ,
the no of boys are = x
therefore no of girls are = 1/6 × x = x/6
now the equation is
no of boys + no of girls = 42
=> x + x/6 = 42
=> 7x/6 = 42
=> x= 36
Hence no of boys are = 36 and no of girls are x/6 = 36/6 = 6
Answer:
Step-by-step explanation:
We are provided with the information that in a class of 42 students, the number of girls is 1/6 of the boys. We are asked to form an equation to find the number of boys and girls.
Using the given information we have —
Let's call 'x' be the number of boys.
According to the question,
Substitute the values,
[tex]\implies[/tex] x + x/6 = 42
[tex]\implies[/tex] (6x + x)/6 = 42
[tex]\implies[/tex] 7x/6 = 42
[tex]\implies[/tex] 7x = 42*6
Divide by 7 on both sides,
[tex]\implies[/tex] 7x/7 = 42/7 × 6
[tex]\implies[/tex] x = 6 × 6
On solving we get,
[tex]\implies[/tex] x = 36
Therefore,
Hence, the number of boys will be 36 and girls will be 6.