Jack and Jill both ordered pizzas from Wayne’s pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 plain pizzas. Jill paid $67 for two pepperoni pizzas and 4 plain pizzas. How much does Wayne’s pizza charge for a plain pizza and for a pepperoni pizza ?

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:

And for Jill:

There are several ways to solve this. I'll used elimination. Multiply the first equation by 2:

Now subtract the second equation from the first - this will get rid of the x, leaving only y, which can be solved for:

Now sub the value for y into either of the original equations and solve for x. I'll use the first:

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Step-by-step explanation: