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Natalia paid $38.95 for three medium sized pizzas and a salad. Solve an equation to find the cost of...
4 months ago
Q:
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
Accepted Solution
A:
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.