SOLUTION: A student at college can take 1-credit, 2 credit, and 4-credit courses. Over two semesters, a student took a total of 10 courses and earned 32 credits toward graduation. The number

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A student at college can take 1-credit, 2 credit, and 4-credit courses. Over two semesters, a student took a total of 10 courses and earned 32 credits toward graduation. The number      Log On


   

Question 912959: A student at college can take 1-credit, 2 credit, and 4-credit courses. Over two semesters, a student took a total of 10 courses and earned 32 credits toward graduation. The number of 2-credit courses he took was two-thirds the number of 4-credit courses he took. How many of each type of course did the student take over the two semesters?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+2b+4c=32,
a+b+c=10,
b+3c=22
b=2c/3
2c/3+3c=22
2c+9c=66
11c=66
c=6 4 credit
b=4 2 credit
a=0 1 credit