Alonso can't decide which size pizza to order. The 10-inch cheese and sausage pizza is $7.99, while
the 12-inch deluxe is $8.99. The dimensions given are the diameters of the pizzas. If he gets the
10-inch pizza, the total price will be divided among 3 people. If he chooses the 12-inch pizza, then
the total price will be divided among 4 people. Which is the better buy? How much will each
person pay?
total area of the pizza= ðR2
Cheese + Sausage: 25ð
Deluxe: 36ð
$7.99/3 people = $2.66 for 8.33ð sq in.
$8.99/4 people = $2.24 for 9ð sq in.
The deluxe pizza is the better buy because you pay less per person
To determine the better buy, we need to compare the prices per person for each pizza size.
First, let's calculate the price per person for the 10-inch cheese and sausage pizza. The total price is $7.99, and it will be divided among 3 people. To find the price per person, we divide the total price by the number of people:
Price per person for the 10-inch pizza = $7.99 / 3 = $2.6633 (rounded to 2 decimal places)
Next, let's calculate the price per person for the 12-inch deluxe pizza. The total price is $8.99, and it will be divided among 4 people:
Price per person for the 12-inch pizza = $8.99 / 4 = $2.2475 (rounded to 2 decimal places)
To compare which is the better buy, we need to find the lower price per person. In this case, the 12-inch deluxe pizza has a lower price per person compared to the 10-inch cheese and sausage pizza.
Therefore, the 12-inch deluxe pizza is the better buy.
Each person will pay $2.25 (rounded to 2 decimal places) if they choose the 12-inch deluxe pizza.