Final answer:
The question involves comparing the total costs of two pizzas with different pricing structures to determine when the costs are equal. By setting the cost equations equal to each other, we can solve for the number of toppings where both pizzas would result in the same total cost.
Step-by-step explanation:
The question is asking when the total cost of two different pizzas, Pizza A and Pizza B, would be the same based on their respective base prices and topping costs. We need to set up an equation where the price of Pizza A plus the cost of its toppings equals the price of Pizza B plus the cost of its toppings.
Let's denote the number of toppings for both pizzas as 'x' (since to find out when the pizzas cost the same, we must assume they will have the same number of toppings). The cost equation for Pizza A is ($10 + $1.50x) and for Pizza B it is ($12.50 + $1.00x).
To find out when the costs are the same, we set the equations equal to each other: 10 + 1.50x = 12.50 + 1.00x. By solving this equation, we can find out the value of 'x' that makes the costs equal.