Ben was in charge of ordering 31 pizzas for the office party. He ordered three types of​ pizza: Cheese,​ Pepperoni, and Supreme. The cheese pizzas cost $6 each, the pepperoni pizzas cost $8 ​each, and the supreme pizzas cost $10 each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If Ben spent a total of $240on​ pizza, how many pizzas of each type did he​ buy?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CR: Review Problem Set
Problem 38CR
icon
Related questions
icon
Concept explainers
Topic Video
Question

Ben was in charge of ordering 31 pizzas for the office party. He ordered three types of​ pizza: Cheese,​ Pepperoni, and Supreme. The cheese pizzas cost $6 each, the pepperoni pizzas cost $8 ​each, and the supreme pizzas cost $10 each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If Ben spent a total of $240on​ pizza, how many pizzas of each type did he​ buy?

Expert Solution
Step 1

Let C, P and S be the number of cheese, Pepperoni and supreme pizzas.

It is given that the number of pizzas ordered is 31.

C+P+S=31                                                           1

The price of cheese pizza, Pepperoni pizza and supreme pizza are $6, $8 and $10 respectively.

It is given that Ben spent a total of $240 on pizzas.

6C+8P+10S=240                                                2

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College