SOLUTION: There are 24 questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points. a. Write a system of equations to find the number of each type of qu

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Question 198996: There are 24 questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points.
a. Write a system of equations to find the number of each type of question.
b. Solve the system by subtitution.
c. How many questions of each type are on the test?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = # of 4 pt questions, and b = # of 5 point questions
.
4a +5b =100
and a+b=24,,,or a = 24-b
.
4(24-b) +5b = 100
.
96 -4b +5b = 100
.
b= 4
.
a= 24-b = 20
.
check
4(20) + 5(4) = 100 ,,,,ok