2014 AMC 8

Complete problem set with solutions and individual problem pages

Problem 7 Easy

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?

  • A.

    3:4

  • B.

    4:3

  • C.

    3:2

  • D.

    7:4

  • E.

    2:1

Answer:B

Solution 1

Let g being the number of girls in the class. The number of boys in the class is equal to g-4. Since the total number of students is equal to 28, we get g+g-4=28. Solving this equation, we get g=16. There are 16-4=12 boys in our class, and our answer is 16:12=\boxed{\textbf{(B)}~4:3}.

 

Solution 2

To make the amount of boys and girls equal, 28 - 4 = 24. 24/2 = 12. The girls would need to be 12 + the 4 that we subtracted = 16. The boys would be 12. The ratio of girls to boys would be 16 : 12, but simplified would be 4 : 3. Thus, the answer is 4 : 3.

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