Question

115. In a school with total 549 students the ratio of boys and
girls is 7:2. How many boys are there in the school?​

Answer 1

Given :

• In a school with total 549 students the ratio of boys and girls is 7:2

To find :

• How many boys are there in the school?

Solution :

• In the question Ratio of Boys and girls and given and Total number of students in school are 549. so Firstly We will find the value and x and fill the values in the given ratios.

✰ Let Boy's Ratio = 7x

✰ Girl's Ratio = 2x

➤ 7x + 2x = 549

➤ 9x = 549

➤ x = 549/9

➤ x = 61

Girls = 2 × 61 = 122

Boys = 7 × 61 = 427

∴There are 427 boys in school

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Answer 2

Given :

• Total number of students in the school = 549.
• Ratio of boys and girIs is 7:2.

To Find :

• Total number of boys in the school.

Solution :

✰ In this question, total number of students of are given and ratio of boys and girIs are also given. So Simply we will assume the number of boys and girIs be 7p and 2p and now According to the Question :

⠀⠀

⠀⠀⟼⠀⠀Total Number of Students = 549

⠀⠀⟼⠀⠀7p + 2p = 549

⠀⠀⟼⠀⠀9p = 549

⠀⠀⟼⠀⠀p = 549/9

⠀⠀⟼⠀⠀p = 61

⠀

Therefore :

• Total Number of Boys = 7p = 7 × 61 = 427

Thus There are 427 boys in the school.

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Tips and Tricks :

• Tips and tricks to solve a word problem.
• Read the problem carefully and note what is given what is required.
• Denote the unknown quantity by some letters, say x,y,z etc.
• Translate the statement of the problem into mathematical statements.
• Using the condition (s) given in the problem, form the equation.
• Solve the equation for the unknown.
• Check whether the solution satisfies the equation

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