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

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Question 119467This 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

Answer by Fombitz(32388) About Me  (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.T%2BF=40 Total number of questions is 40.
2.2T%2B4F=100 Total point value is 100.
From 1,
T%2BF=40
T=40-F
Substitute that value into 2.
2T%2B4F=100
2%2840-F%29%2B4F=100
80-2F%2B4F=100
80%2B2F=100
2F=20
F=10
From 1,
T=40-F
T=40-10
T=30
There are 30 2 point questions and 10 4 point questions.