SOLUTION: Maurice is looking at his options for colleges. He can only borrow 12,570 a year for tuition. The community college in town does not offer every class he needs, and he cannot affor
Question 1163229: Maurice is looking at his options for colleges. He can only borrow 12,570 a year for tuition. The community college in town does not offer every class he needs, and he cannot afford to attend the university full time. The university charges 3500 per credit hour (u) and the community college charges 230 per credit hour (c). In order to finish his degree on time, maurice take 12 credit hours per semester for both fall and spring semesters but not for the summer semester.
Use the variables u and c to set up two equations to solve the given problem. Answer by ikleyn(52781) (Show Source):
This many-words problem is reduced to two equations
u + c = 12 credit hours (1)
3500u + 230c = 12570 dollars (2)
Thus the setup is done.
There are several different methods to solve this system.
In my solution, I will use the substitution method.
From equation (1), express c = 12-u and substitute it into equation (2).
You will get then
3500u + 230*(12-u) = 12570
3500u + 230*12 - 230u = 12570
3270u = 12570 - 230*12
3270u = 9810
u = = 3.
ANSWER. 3 credit hours from the university, and the rest, 12-3 = 9 credit hours from the community college.
CHECK. 3*3500 + 9*230 = 12570 dollars. ! Correct !
