Question

On the JV baseball team, the number of sophomores is four more than twice the number of freshmen. If there are 16 players combined on the team, how many of each grade level are there?

A) 5 freshmen and 11 sophomores
B) 6 freshmen and 10 sophomores
C) 4 freshmen and 12 sophomores
D) 7 freshmen and 9 sophomores

Answer 1

To determine the number of freshmen and sophomores on the JV baseball team, we can use algebraic equations to represent the given information and solve for the variables. Using the equations, we find that there are 5 freshmen and 11 sophomores on the team.

Step-by-step explanation:

To solve this problem, we can let x represent the number of freshmen on the team. According to the given information, the number of sophomores is four more than twice the number of freshmen. So we can set up the equation: 2x + 4 = number of sophomores. We also know that the number of freshmen and sophomores combined is 16. So we can set up another equation: x + (2x + 4) = 16. Solving these equations, we find that x = 5 and 2x + 4 = 11. Therefore, there are 5 freshmen and 11 sophomores on the team. Therefore, the correct answer is A) 5 freshmen and 11 sophomores.