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Natalia paid $38.95 for three medium sized pizzas and a salad. Solve an equation to find the cost of one pizza,p, if Natalia paid $11.98 for the salad

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ANSWER

The cost of each pizza is

[tex]8.99 \: dollars[/tex]

EXPLANATION

We were given that, Natalia paid $38.95 for three medium sized pizzas and a salad.

Let
[tex]p[/tex]
represent the cost of each pizza and

[tex]s [/tex]

be the price of a salad.

Then we can write the equation,

[tex]3p + s = 38.95...(1)[/tex]

But we were also told that Natalia paid $11.98 for a salad. This means the cost of a salad is $11.98.

This implies that,

[tex]s = 11.98...(2)[/tex]

We now put equation (2) into equation (1) to get,

[tex]3p + 11.98 = 38.95[/tex]

We now solve for p to obtain,

[tex]3p = 38.95 - 11.98[/tex]

This gives us,

[tex]3p = 26.97[/tex]

We divide through by 3 to get,

[tex]p = 8.99[/tex]

Therefore the cost of each pizza is $8.99.

The linear equation is defined as the equation, which can be represented in the form of y=mx+b.

The cost of one pizza is $ 8.99.

Given that,

  • Cost of salad = $ 11.98
  • Let the cost of pizza be x.
  • The three pizzas cost will be 3x.
  • The total cost of the food items = $ 38.95

Now, using the linear equation formula:

Total cost = Cost of three pizzas + Cost of Salad

Substituting the values, the equation becomes:

$ 38.95 = 3x + $ 11.98

$ 38.95 - $ 11.98 = 3x

$ 26.97 = 3x

x = [tex]\dfrac{26.97}{3}[/tex]

x = $8.99

Therefore, the value of each pizza is $8.99.

To know more about linear equations, refer to the following link:

https://brainly.com/question/11897796

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