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An algebra test is worth 100 points and has 28 questions. Multiple- CHOICE Worth 2 points each and extended response worth 4 points each. How many questions of each type are on the test ?

Respuesta :

Answer:

6 multiple choice questions and 22 open/extended response questions

Step-by-step explanation:

Let x be the number of multiple choice questions

Let y be the number of open response questions

Thus, we have a system of equations:

2x+4y=100

x+y=28

Solve bottom equation for desired variable, then plug in to top one:

x+y=28

x=28-y

2(28-y)+4y=100

56-2y+4y=100

56+2y=100

2y=44

y=22

Plug y back into bottom equation to get x:

x+22=28

x=6

So there are 6 multiple choice questions and 22 open/extended response questions.

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