104k views
4 votes
Pedro can't decide which size pizza to order. The 10-inch cheese and sausage pizza is $4.99, while the 12-inch deluxe is $5.99. If he gets the 10-inch pizza, the total price will be divided among 3people. 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? (Use 3.14 for r.)A. 10-inch pizza; $1.50B. 12-inch pizza; $1.50C. 10-inch pizza; $1.66 D. 12-inch pizza; $1.66

User JDL Wahaha
by
3.4k points

2 Answers

2 votes

Final answer:

Upon calculating, the 10-inch pizza costs $1.66 per person, while the 12-inch pizza costs $1.50 per person. Therefore, the 12-inch pizza is the better buy.

Step-by-step explanation:

The problem requires us to compare the cost per person of two different pizza sizes and determine which is the better buy for Pedro and his friends. To find out how much each person pays for the 10-inch pizza, divide the total price of $4.99 by 3 people:

10-inch pizza: $4.99 ÷ 3 = $1.66 per person

For the 12-inch pizza, divide the total price of $5.99 by 4 people:

12-inch pizza: $5.99 ÷ 4 = $1.50 per person

Comparing the two options, the 12-inch pizza offers a lower cost per person.

User Prabodhprakash
by
3.4k points
3 votes

Answer: The better buy is the the 12-inch deluxe for $5.99.

B. 12-inch pizza; $1.50

Step-by-step explanation:

From the information given, the 10-inch cheese and sausage pizza is $4.99, while the 12-inch deluxe is $5.99. If he gets the 10-inch pizza. We would calculate the area of both pizzas by applying the formula for calculating the area of a circle which is expressed as

Area = πr^2

where

π = 3.14

r is the radius of the circle

For the 10-inch cheese and sausage pizza,

diameter = 10

r = 10/2 = 5

Area = 3.14 x 5^2 = 78.5

If it is divided among 3 people,

each person gets 78.5/3 = 26.2 in^2

Amount that each person pays = 4.99/3 = $1.66

This means that each person pays $1.66 for 26.2 in^2

For the 12-inch cheese and sausage pizza,

diameter = 12

r = 12/2 = 6

Area = 3.14 x 6^2 = 113.04

If it is divided among 4 people,

each person gets 113.04/4 = 28.26 in^2

Amount that each person pays = 5.99/4 = $1.5

This means that each person pays $1.5 for 28.26 in^2

Thus, the better buy is the the 12-inch deluxe for $5.99.

The amount that each person pays is

B. 12-inch pizza; $1.50

User Shakib
by
2.7k points