SOLUTION: Mr Brown gave a test with 30 questions worth 100 points. If some of the questions were worth three points and the rest worth 5 points, how many questions of each value did he have?

Question 858120: Mr Brown gave a test with 30 questions worth 100 points. If some of the questions were worth three points and the rest worth 5 points, how many questions of each value did he have?
Answer by ben720(159) (Show Source): You can put this solution on YOUR website!
As the only types of questions were 3 points or 5 points, if you
Let X = how many 3-pointers there are
then the rest, or 30-x, must be 5-pointers.
The equation is 3*(number of 3-pointers) + 5*(number of 5-pointers) = total points.
Substitute

Distribute

Combine like terms

Add 2x to both sides

Subtract 100 from both sides

Divide both sides by 2

3pointers = x, 5-pointers = 30-x
There were 25 questions worth 3 points and 5 worth 5 points.
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