Question 1065304
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Your teacher is giving a test that has 12 more three-point questions than five point questions. The test is worth 100 points. 
How many of each type of question is on the test? WITH WORK PLEASE
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Let F be the number of five-point questions.
Then the number of three-point questions is (F + 12).

The "total worth" equation is

5F + 3*(F+12) = 100.

Simplify and solve for F:

5T + 3F + 36 = 100,

8F = 100 - 36  --->  8F = 64  --->  F = {{{64/8}}} = 8.

<U>Answer</U>. 8 five-point questions and (8+12) = 20 three-point questions.
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