Question

Bill is preparing for a party. He is comparing the prices at two different pizza parlors. At Jack's Pizza, a large cheese pizza costs $6.40 plus $0.80 for each additional topping. At Lee's Pizzeria, a large cheese pizza is $7.30 plus $0.50 for each additional topping.

If you let x be the number of toppings and y be the cost of the pizza, what would be the price point where the two pizzas would cost the same?

Answer 1

• $8.80

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The cost of each pizza is:

• y = 6.40 + 0.8x and
• y = 7.30 + 0.5x

Since we need y be same for both pizzas, make right sides equal to find the value of x:

• 6.40 + 0.8x = 7.30 + 0.5x
• 0.8x - 0.5x = 7.30 - 6.40
• 0.3x = 0.9
• x = 0.9/0.3
• x = 3

Find the price when both pizzas cost the same:

• y = 6.40 + 3*0.8 = 6.40 + 2.40 = 8.80