SOLUTION: Suppose you are writing a test for a friend whom you tutor. You want it to total 100 points. Multiple-choice questions count 1 point, fill in the blank questions count 2 points an

Question 237847: Suppose you are writing a test for a friend whom you tutor. You want it to total 100 points. Multiple-choice questions count 1 point, fill in the blank questions count 2 points and short answer questions count 5 points. What are the possible combinations for types of test questions. Write and graph an equation for the number of each that you can use.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose you are writing a test for a friend whom you tutor.
You want it to total 100 points. Multiple-choice questions count 1 point, fill in
the blank questions count 2 points and short answer questions count 5 points.
What are the possible combinations for types of test questions.
Write and graph an equation for the number of each that you can use.
:
I assume you are the student who made the comment about this.
:
Let x = 5 pt questions
Let y = 2 pt q
Let z = 1 pt q
:
The equation:
x + 2y + 5z = 100
:
Three unknowns make it difficult
I am going make a graph assuming there are 10 ea 1 pt questions
we have
2x + 5y = 90
5y = 90 - 2x
y = 90/5 - (2/5)x
graph
y = 18 - .4x

Assume 10 1 pointers, y=5pt and x=2pt
;
If assume 20 ea 1 pointers
2x + 5y = 80
5y = 80 - 2x
y = 80/5 - (2/5)x
graph
y = 16 - .4x

Assume 20 1 pointers, y=5pt and x=2pt
;
not sure if this is what they want, but will get you thinking about it anyway
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