Question

the number of boys is twice the number of girls in a class the total number of students is seventy five find the number of boys and girls

Answer 1

The number of girls is 15 and number of boys is 50

Given:

The number of boys is twice the number of girls in a class

The total number of students is 75

To find:

Find the number of boys and girls

Solution:

Let x be the number of girls

Given that number of boys is twice the number of girls

Number of boys = 2x

Then sum of the boys and girls = x + 2x

From given data total number of students = 75

⇒  x + 2x = 75

⇒  3x = 75

⇒  x = 75/3 = 25

The number of girls = 25

Number of boys = 2x = 2(25) = 50

The number of girls is 15 and number of boys is 50

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Answer 2

There are 50 boys and 15 girls in the population.

Solution:

Suppose there are x girls.

Given that there are twice as many boys as girls,

x2 = number of boys

Consequently, the total of the boys and girls is equal to x plus 2x.

Given the information, there are a total of 75 students.

⇒ x + 2x = 75

⇒ 3x = 75

⇒ x = 75/3 = 25

There are 25 girls in all.

50 boys are equal to 2x + 2(25) boys.

The number of girls is 15 and number of boys is 50

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