Respuesta :
Answer:
A plain pizza is $10.50. A pepperoni pizza is $12.50.
Step-by-step explanation:
Solve a system of equations. Call x the price of plain pizzas and y the price of pepperoni pizzas. From the question we are told that for Jack:
[tex]58.50=2x+3y[/tex]
And for Jill:
[tex]67=4x+2y[/tex]
There are several ways to solve this. I'll used elimination. Multiply the first equation by 2:
[tex]117=4x+6y[/tex]
Now subtract the second equation from the first - this will get rid of the x, leaving only y, which can be solved for:
[tex](117-67)=(4x-4x)+(6y-2y)\\50=4y\\y=12.5[/tex]
Now sub the value for y into either of the original equations and solve for x. I'll use the first:
[tex]58.5=2x+3(12.5)\\58.5=2x+37.5\\21=2x\\x=10.5[/tex]
Answer:
One plain pizza would be $10.50 and one pepperoni pizza would be $12.50.
