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.