Sample Question 7:

There are four more girls than boys in Ms. Raub's class of 28 students. What is the ratio of number of girls to the number of boys in her class?

\(\textbf{(A) }3 : 4\qquad\textbf{(B) }4 : 3\qquad\textbf{(C) }3 : 2\qquad\textbf{(D) }7 : 4\qquad\textbf{(E) }2 : 1\)

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Answer Keys

Question 7: B

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Solutions

Question 7
Step 1: Assume the number of girls in the class as \(g\). According to the problem, the number of boys is \(g-4\).

Step 2: Based on the class size, the equation becomes \(g + g - 4 = 28\) as the total number of students is 28.

Step 3: Solve the equation to find the value of \(g\), which gives \(g = 16\).

Step 4: Subtract 4 from the number of girls to get the number of boys, giving \(16 - 4 = 12\) boys.

Step 5: Finally, the ratio of girls to boys is \(16 : 12\), which simplifies to \(4 : 3\).

So the answer is \(\textbf{(B)}~4:3\).