Three models (F, G, and H) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model F, 17 cars of Model G, and 15 cars of Model H. What is the maximum number of cars of model F in any showroom ?
Choose the correct choice from the following answers
A) 17 B) 16 C) 15 D) 14 E) 13
The total number of cars is 51. So each showroom has 17 cars(since the number of cars in each showrooms should be equal   51/3= 
<gadget id="calculator">  51/3</gadget>
<output>17</output>
17).   Moreover that the number of model F is maximum means that the numbers of model G and H should be minimum. Since each model must be represented by at least one car in every showroom that minimum number should be 1.   So Maximum number of model F is   17-2= 
<gadget id="calculator">  17-2</gadget>
<output>15</output>
15.   The answer is (15)
<result>C</result>
Three models (F, G, and H) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model F, 17 cars of Model G, and 15 cars of Model H. What is the maximum number of cars of model F in any showroom ?