SOLUTION: A test is worth 100 points. There are 46 questions on the test. Each problem is worth either 2 points or 4 points. How many 2 point problems are there and how many 4 point problems

Question 799016: A test is worth 100 points. There are 46 questions on the test. Each problem is worth either 2 points or 4 points. How many 2 point problems are there and how many 4 point problems are there on the test?
Found 2 solutions by solver91311, Finavon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve the 2X2 system.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by Finavon(81) (Show Source): You can put this solution on YOUR website!
s two point questions and d four point
2s+4d=100
s+d=46
so s=46-d
subst for s: 2*(46-d) + 4d =100
92 - 2d + 4d =100
2d = 8
d=4
s=46-4=42
There are 4 4-point and 42 2-point questions
Check: 16 + 84 = 100
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