SOLUTION: Your math teacher tells you that next week's test is worth 100 points and contains 29 problems. Each problem is worth either 5 points or 2 points. How many of each type of problem

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Question 175779: Your math teacher tells you that next week's test is worth 100 points and contains 29 problems. Each problem is worth either 5 points or 2 points. How many of each type of problem are on the test?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let the number of 5 point and 2 point problems be f and t respectively
:
f+t=29.....eq 1
5f+2t=100..eq 2
:
rewrite eq 1 to f=29-t and plug f's value into eq 2
:
5(29-t)+2t=100
:
145-5t+2t=100
:
-3t=-45
:
highlight%28t=15%29number of two point problems
:
highlight%28f=29-15=14%29number of five point problems