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

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

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`