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Math Help - Guess and Check

  1. #1
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    Exclamation Guess and Check

    I have 2 math problems and have no idea how to solve them:

    #1. Bernadette's math test has 14 sections. Each section has either 8 or 12 problems. How many sections are there of each size if the test is 132 problems long?

    #2. A moving truck rental company has a total of 24 trucks in its lot. The trucks are either 4-wheelers or 18-wheelers. How many of each kind of truck does the company have if the total number of wheels is 138?

    I need to show the work. Thanks so much for any help that you can provide.

    Josh
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  2. #2
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    Re: Guess and Check

    Quote Originally Posted by joshuag View Post
    I have 2 math problems and have no idea how to solve them:

    #1. Bernadette's math test has 14 sections. Each section has either 8 or 12 problems. How many sections are there of each size if the test is 132 problems long?

    #2. A moving truck rental company has a total of 24 trucks in its lot. The trucks are either 4-wheelers or 18-wheelers. How many of each kind of truck does the company have if the total number of wheels is 138?

    I need to show the work. Thanks so much for any help that you can provide.

    Josh
    not any magic to these

    1) let there be N 8 problem sections and M 12 problem sections

    How many total sections are there?

    So what does N + M equal?

    How many problems are in the N 8 problem sections total?
    How many problems are in the M 12 problem sections total?

    The sum of these two numbers is the total number of problems, i.e. 132.

    Now solve these two equations for N and M

    For (2) apply the same sort of thinking as in (1)
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