Explain how to solve:
Sam is ordering pizza. Tony's Pizza charges $7 for a large cheese pizza plus $.75 for each additional topping. Maria's Pizza charges $8 for a large cheese pizza plus $.50 for each additional topping. For what number of toppings will the cost of a large pizza be the same at either restaurant?
Tony charges 7 + .75t for a pizza with t extra toppings.
Maria charges 8 + .5t for the same pizza.
so, we want to know, when does
7 + .75t = 8 + .5t
.25t = 1
t = 4
So, a pizza with 4 extra toppings costs
7.00 + 4*.75 = 10.00 at Tony's, and
8.00 + 4*.50 = 10.00 at Maria's.
So, for extra credit, who charges less for a pizza with 3 extra toppings? How about 5 extra toppings?
confused
4 duh lol i like wafflez
To find the number of toppings at which the cost of a large pizza is the same at both Tony's Pizza and Maria's Pizza, we can set up an equation and solve for the variable.
Let's assume the number of additional toppings is represented by "x".
For Tony's Pizza, the total cost of a large pizza with x additional toppings can be calculated using the following equation:
Cost at Tony's = 7 + 0.75x.
For Maria's Pizza, the total cost of a large pizza with x additional toppings can be calculated using the equation:
Cost at Maria's = 8 + 0.50x.
Now, we can set up an equation:
7 + 0.75x = 8 + 0.50x.
To solve for x, we need to isolate the x variable on one side of the equation.
Subtracting 0.50x from both sides of the equation:
0.75x - 0.50x = 8 - 7.
0.25x = 1.
Next, we'll divide both sides of the equation by 0.25 to solve for x:
x = 1 รท 0.25.
Performing the calculation:
x = 4.
Therefore, the cost of a large pizza will be the same at both Tony's Pizza and Maria's Pizza when there are 4 additional toppings.