A large pizza at Paul's Pizza Shop costs $\$ 6.80$ plus $\$ .90$ for each topping. The cost of a large cheese pizza at Sal's Pizza is $\$ 7.30$ plus $\$ .65$ for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?
Answer
\(\boxed{2}\) is the number of toppings when both companies cost the same amount.
Step 1 ：Let P(x) be the cost of a pizza at Paul's Pizza Shop with x toppings, and S(x) be the cost of a pizza at Sal's Pizza with x toppings.
Step 2 ：We are given that: \(P(x) = 6.80 + 0.90x\) and \(S(x) = 7.30 + 0.65x\)
Step 3 ：We need to find the value of x when \(P(x) = S(x)\).
Step 4 ：Set up the equation: \(6.80 + 0.90x = 7.30 + 0.65x\)
Step 5 ：Solve for x: \(x = 2\)
Step 6 ：\(\boxed{2}\) is the number of toppings when both companies cost the same amount.
