2014 AMC 8 Problems/Problem 7

Problem

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?

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

Solution

We can set up an equation with $x$ being the number of girls in the class. The number of boys in the class is equal to $x-4$ . Since the total number of students is equal to $28$ , we get $x+x-4=28$ . Solving this equation, we get $x=16$ . There are $16-4=12$ boys in our class, and our answer is $16:12=\boxed{4:3}$ . So the answer is $\boxed{B}$

2014 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 6	Followed by Problem 8
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All AJHSME/AMC 8 Problems and Solutions

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2014 AMC 8 Problems/Problem 7

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