A university math department offers courses in College Algebra, Finite Mathematics, and Applied Calculus. Each section of College Algebra is worth 3 credits and has a capacity of 35 students. Each section of Finite Math is worth 4 credits and has a capacity of 30 students. Each section of Applied Calculus is worth 4 credits and has a capacity of 25 students. Last semester, the department offered a total of 96 credits and all the classes were filled to capacity. Seven hundred ninety students were enrolled, and no student took more than one of the three courses. The department offered half as many sections of Applied Calculus as Finite Math.
A university math department offers courses in College Algebra, Finite Mathematics, and Applied Calculus.
Each section of College Algebra is worth 3 credits and has a capacity of 35 students.
Each section of Finite Math is worth 4 credits and has a capacity of 30 students.
Each section of Applied Calculus is worth 4 credits and has a capacity of 25 students.
Last semester, the department offered a total of 96 credits and all the classes were filled to capacity. Seven hundred ninety students were enrolled, and no student took more than one of the three courses.
The department offered half as many sections of Applied Calculus as Finite Math.
Set up a system of equations for this problem where
c represents the number of sections of College Algebra offered,
f represents the number of sections of Finite Math offered, and
a represents the number of sections of Applied Calculus offered. You do not need to solve the system.
Two of the equations are
A. 3c + 4f + 4a = 96 and 35c + 30f + 25a = 790
B. 35c + 30f + 25a = 96 and 3c + 4f + 4a = 790
C. 3c + 4f + 4a = 96 and 3c + 4f + 4a = 790
D. 35c + 30f + 25a = 96 and 35c + 30f + 25a = 790
E. 3c + 4f + 4a = 790 and 35c + 30f + 25a = 790
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