Question

₹ 776 is divided among 300 students (boys and girls). Each boy gets ₹ 2.40 and each girl gets ₹ 2.80. Find the number of girls.

• A. 130
• B. 140
• C. 110
• D. 120

Hint:

Two linear conditions (headcount and total money) \(\Rightarrow\) solve by substitution after clearing decimals.

Answer 1

The Correct Option is B

Let \(B\) represent boys and \(G\) represent girls. We are given \(B+G=300\) and \(2.4B+2.8G=776\). Multiplying the second equation by 10 yields \(24B+28G=7760\), which simplifies to \(6B+7G=1940\). Substituting \(B=300-G\), we get \(6(300-G)+7G=1940\), which simplifies to \(1800-G=1940\), therefore \(G=140\). \[ \boxed{140} \]