Asked by megan

A 24 question mathematics exam is worth 100 points. There are fill-in-the-blank questions worth 2 points each, multiple choice questions worth 6 points each, and long answer questions worth 5 points each. The number of fill-in-the-blank questions plus the number of multiple choice questions is equal to the number of long answer questions. How many of each question is on the exam?

Answers

Answered by Steve
If there are

x fill-in
y multiple-choice
z long-answer

they have given us the following facts:

x+y+z = 24
2x+6y+5z = 100
x+y = z

Now you can solve for x,y,z
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