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...

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

  1. 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?)

Asked on by catd1115

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

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

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