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a test is worth 144 points and theres 40 questions. true/false questions are worth 2 points and multiple choice questions are worth 4 points. how many of each type of questions are there

User Dtb
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There are 8 true/false questions and 32 multiple choice questions.

To find out how many true/false and multiple choice questions are on a test worth 144 points with 40 questions, in which true/false questions are worth 2 points and multiple choice questions worth 4 points, we can set up a system of equations:

Let T be the number of true/false questions.

Let M be the number of multiple choice questions.

Since each true/false question is worth 2 points and each multiple choice question is worth 4 points, the points equation will be:

2T + 4M = 144

And since there are 40 questions in total, we have another equation:

T + M = 40

Solving this system of equations will give us the number of each type of question.

First, from the second equation, expressing T in terms of M:

T = 40 - M

Substitute T in the points equation:

2(40 - M) + 4M = 144

Expand and simplify to solve for M:

80 - 2M + 4M = 144 2M = 64 M = 32

Now substitute M back into T's equation:

T = 40 - 32 T = 8

There are 8 true/false questions and 32 multiple choice questions.

User TheWebs
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