Question

A 16-inch cheese pizza at Fine Dough Pizza costs $10.00 and each additional topping is $1.50. The same size pizza at Johnson's Pizza costs $8.00 and each additional topping is $2.00. After how many toppings do the pizzas cost the same? Which pizza costs more with additional toppings?

Answer 1

the 10$ pizza 4 toppings make 16$

the 8$ pizza also uses 4 toppings to make 16$

So there the same in that ascepect 

Answer 2

Answer:

Part a) The pizzas cost the same with $4.00\ toppings$

Part b) The pizza at Johnson's Pizza costs more with an additional toppings

Step-by-step explanation:

Let

x------> the number of topping

y------> the total cost of the pizza

Part a) After how many toppings do the pizzas cost the same?

we know that

At Fine Dough Pizza

$y=1.50x+10.00$ -------> equation A

At Johnson's Pizza

$y=2.00x+8.00$ -------> equation B

To find after how many toppings do the pizzas cost the same, equate equation A and equation B

$1.50x+10.00=2.00x+8.00$

Solve for x

$2.00x-1.50x=10.00-8.00$

$0.50x=2.00$

$x=4.00\ toppings$

Part b) Which pizza costs more with additional toppings?

For $x=5.00\ toppings$

Find the cost

At Fine Dough Pizza

$y=1.50(5)+10.00=\ 17.50$

At Johnson's Pizza

$y=2.00(5)+8.00=\ 18$