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Question 1110861: Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college $27,000. Assuming the college wishes to offer a total of seven sections, accommodate 220 students, and bring in $294,000 in revenues, how many sections of each course should it offer?
Answer by ikleyn(52884)   (Show Source):
You can put this solution on YOUR website! .
I can easily write the problem as a system of 3 equations in 3 unknown, but I think it would be bad help to you.
Much better is to reduce it to the system of 2 equations in 2 unknowns.
Let M be the number of classes in Math and C be the number of classes in Calculus.
Then the number of classes in CompSci is (7-M-C).
Now your system of equations is
40M + 40C + 10*(7-M-C) = 220 (1) (counting students)
40M + 60C + 27*(7-M-C) = 294 (2) (counting thousands of dollars)
At this point, the setup is completed, as well as my role as a tutor.
Next you should to simplify the system; to write it in the standard form and to solve it.
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To see many other similar solved problems, look into the lessons
- HOW TO algebreze and solve this problem on 2 equations in 2 unknowns
- One unusual problem to solve using system of two equations
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
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