Question

Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping. Write an equation that you can use to check whether the amount paid by each person when ordering x toppings is the same.

a. 16.50+2x=13.25+2x
b. 16.50+2x=13.25x
c. 13.25+2x=16.50x
d. 13.25x=16.50+2x

Answer 1

The equation to check whether Denis and Sheng pay the same amount for their pizzas with x toppings is "16.50 + 2x = 13.25 + 2x". This expression accounts for the base price of the pizzas and the cost of additional toppings for both individuals.

Step-by-step explanation:

To determine if Denis and Sheng pay the same amount for their pizzas with x toppings, we need to set up an equation that represents the total cost for each person. For Denis, the cost is the base price of the large pizza, $16.50, plus $2 for each topping. So, the equation for Denis's total cost is 16.50 + 2x. For Sheng, the cost is the base price of the medium pizza, $13.25, plus $2 for each topping, giving us the equation 13.25 + 2x for Sheng's total cost. We want to find when these two costs will be equal, so we equate Denis's cost to Sheng's cost, which gives us:

16.50 + 2x = 13.25 + 2x

This is the equation we would use to check whether Denis and Sheng will pay the same amount when ordering x toppings.