SOLUTION: Antonio’s Pizza charges $8.00 for a large pizza and $1.50 for each topping. Zina’s Pizzaria charges $10.00 for a large pizza and $1.00 for each topping. Write and solve a syste

Algebra ->  Equations -> SOLUTION: Antonio’s Pizza charges $8.00 for a large pizza and $1.50 for each topping. Zina’s Pizzaria charges $10.00 for a large pizza and $1.00 for each topping. Write and solve a syste      Log On


   

Question 1028703: Antonio’s Pizza charges $8.00 for
a large pizza and $1.50 for each
topping. Zina’s Pizzaria charges $10.00
for a large pizza and $1.00 for each
topping. Write and solve a system of
equations to determine the number of
toppings for which the pizzas would
cost the same. What is that cost?
Answer by sheffydavid@gmail.com(2) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of toppings be x.
Cost of Antonio's pizza = $8 + $1.5x
And cost of Zina's pizza = $10 + $1x
Now, given that the cost of the two pizza's is the same.
=> $8 + $1.5x = $10 + $1x
=> 1.5x - x = 10 - 8
=> 0.5x = 2
=> x = 4
Therefore, the number of toppings is 4.
Since both the pizzas cost the same when the number of toppings is 4, we can find the cost of any one of the two pizzas.
Cost of a pizza will be
$10 + ($1 x 4)
= $10 + $4
= $14