SOLUTION: Your teacher is giving you a test worth 100 points containing 40 questions.There are two-point and four-point questions on the test.How many of each type of question are on the tes

Question 119468This question is from textbook Algebra I
: Your teacher is giving you a test worth 100 points containing 40 questions.There are two-point and four-point questions on the test.How many of each type of question are on the test? This question is from textbook Algebra I

Found 2 solutions by josmiceli, Fombitz:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What if all the questions were 4-point? then the total
score would be , but the total score
should be
What if all the questions were 2-point? Then the total
score would be That's too low.
So there has to be a mixture of 2-point and 4-point.
It looks like there are more 2-point than 4-point,
because is almost there.
Lets chart some numbers

and the sum is
and the sum is
and the sum is
and the sum is
and the sum is
That's the answer
There are 30 2-point questions giving 60 points
and ther are 10 4-point questions giving 40 points for
a total of 100 points on a 40 question test
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let T=number of 2 point questions
Let F=number of 4 point questions
1. Total number of questions is 40.
2. Total point value is 100.
From 1,

Substitute that value into 2.

From 1,

There are 30 2 point questions and 10 4 point questions.

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