How do I solve for FOUR possible answers to the following?

  • A fundraiser is selling two types of items: pizzas and cookie dough. The club earns $5 for each pizza sold and $4 for each container of cookie dough. They want to earn more than $550. 

    (The inequality is 5p +4c >550?)

  • Expert Answers

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    You assumed that the number of pizza is P , and the number of cookie dough is C.

    ==> Th total price is 5P + 4C

    But they need the total price to be more that 550.

    ==> 5p + 4c > 550

    Now to find 4 possible answers, we will find random values for P and C that satisfies the inequality.

    1. Let p = 50  ==> 5p = 5*50 = 250

    Then 4c has to be more that 300 to satisfies the inequality.

    ==> Let c = 80 => 4c = 4*80 = 320 .

    Now the total is 600 which satisfies the inequality.

    ==> p= 50 and c = 80 is one possible solution.

    2.  Let p= 60 ==> 5p = 5*60 = 300

          let c = 70 ==> 5c = 4*70 = 280

    ==> Then, the total is 580 > 550

    ==> p= 60 and c =70 is another possible solution.

    3. Let p = 70 ==> 5p = 5*70 = 350.

    Let c = 60 ==> 4c = 4*60= 240

    ==> Total = 590.

    4. Let p= 75 ==> 5p = 5*75 = 375

     let   c = 55 ==> 4c = 4*55= 220

    ==> Total = 595 > 550

    Approved by eNotes Editorial Team

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