SOLUTION: a test has 36 questions worth a total of 100 points. the test consists of true/false questions worth 2 points each. and multiple choice questions worth 4 points each. how man

Question 823477: a test has 36 questions worth a total of 100 points. the test consists of true/false questions worth 2 points each. and multiple choice questions worth 4 points each.

how many of each type of questions are on the test?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a test has 36 questions worth a total of 100 points. the test consists of true/false questions worth 2 points each. and multiple choice questions worth 4 points each.
how many of each type of questions are on the test?
---------------
Equations:
Quantity:: t + m = 36 questions
Points Eq: 2t +4m = 100
------
Modify for elimination::
2t + 2m = 72
2t + 4m = 100
----
Subtract and solve for "m":
2m = 28
m = 14 (# of multiple-choice questions)
-----
Solve for "t":
t + m = 36
t + 14 = 36
t = 22 (# of true/false questions)
=====================================
Cheers,
Stan H.
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