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counting and probability intermediate
Problem
In a certain school, there are times as many boys as girls and times as many girls as teachers. Using the letters to represent the number of boys, girls, and teachers, respectively, then the total number of boys, girls, and teachers can be represented by the expression
(A)
(B)
(C)
(D)
Solution
From the given, we have and , or . The sum of these, in terms of , is , or, with a common denominator, . We can see that this isn't one of the choices. So we write it in terms of . We can see from the first equation that , so substituting this into the expression yields .
Final answer
B