Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $ 12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for total oct of $ 8.50 what is the cost of one slice of mushroom pizza
A $ 1.50
B $ 2.00
C $ 3.00
D $ 3.50

Respuesta :

Answer:

B) $ 2.00

Step-by-step explanation:

Hi there!

Let x be equal to the cost of one slice of cheese pizza.

Let y be equal to the cost of one slice of mushroom pizza.

Create equations

We're given that Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $ 12.50:

⇒ [tex]3x+4y=12.5[/tex]

And that Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $ 8.50:

⇒ [tex]3x+2y=8.5[/tex]

Solve for y

[tex]3x+4y=12.5[/tex]

[tex]3x+2y=8.5[/tex]

Solve using elimination:

[tex]\hspace{10} 3x+4y=12.5\\- 3x+2y=8.5\\\rule{80}{0.5}\\\setlength\parindent{24pt} 2y=4[/tex]

Solve for y:

[tex]y=2[/tex]

Therefore, the cost of one slice of mushroom pizza is $2.

I hope this helps!

The answer would be B- $2.00
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