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Math Help - can you help me with this word problem

  1. #1
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    can you help me with this word problem

    38 problems on a test worth a total of 100 points.
    each test problem is either worth 5 points or 2 points .
    how many 5 point questions and 2 point questions
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  2. #2
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    Quote Originally Posted by dblued View Post
    38 problems on a test worth a total of 100 points.
    each test problem is either worth 5 points or 2 points .
    how many 5 point questions and 2 point questions
    Solve simutaneously:
    x + y = 38
    5x + 2y = 100.
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  3. #3
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    reply

    okay, so you let x=number of 5 point problems
    then you let y=the number of two point problems

    since you have two variables you need two equations that are related
    x+y=38

    and

    5x+2y=100

    then you can say that y=38-x and you can substitute that value in for y, so

    5x+2(38-x)=100
    5x+(76-2x)=100
    3x=24 and x=8

    then solve for y
    x+y=38
    8+y=38
    y=30
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