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 The table shows the number of correct answers on a practice standardized test. You score 86 points on the test, and your friend scores 76 points. How many points is each type of question worth?

                            You       Your Friend

Mutiple Choice      23                 28

Short response        10              5

 

 

The multiple-choice questions are worth      points each.

The short response questions are worth       points each.

 Feb 17, 2021
 #1
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Let m = multiple choice, and s = short response

 

23m + 10s = 86

28m + 5s = 76

 

56m + 10s = 152

23m + 10s = 86

-----------------------

33m = 66

    m = 2

 

28m + 5s = 76

28(2) + 5s = 76

56 + 5s = 76

5s = 20

s = 4

 

Which means each multiple choice answer is worth 2 points and short responses are worth 4 points :)
 

 Feb 17, 2021

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