Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 28 cups of coffee, using 424 ounces of coffee, while collecting a total of $34.40. How many cups of each size did Kyle fill? Kyle filled 10-oz cup(s). 14-oz cup(s), and 20-oz cup(s).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
icon
Concept explainers
Question
100%
8.5.17
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $150. During one busy period, Kyle served 28
cups of coffee, using 424 ounces of coffee, while collecting a total of $34.40. How many cups of each size did Kyle fill?
Kyle filled
10-oz cup(s). 14-oz cup(s), and 20-oz cup(s).
orrec
ess
Library
Enter your answer in the edit fields and then click Check Answer.
Check Answer
Clear All
Transcribed Image Text:8.5.17 Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $150. During one busy period, Kyle served 28 cups of coffee, using 424 ounces of coffee, while collecting a total of $34.40. How many cups of each size did Kyle fill? Kyle filled 10-oz cup(s). 14-oz cup(s), and 20-oz cup(s). orrec ess Library Enter your answer in the edit fields and then click Check Answer. Check Answer Clear All
Expert Solution
Step 1

Let 

x, y and z are the number of 10 oz, 14 oz and 20 oz  cups sold respectively.

Kyle served 28 cups of coffee.

So, total number of coffee sold 

          x + y + z = 28 ------------------------ (1)

Total coffee consumed 424 ounces

      10x + 14y + 20z = 424 ------------------- (2)

Total cost is $ 34.40

     0.95 x + 1.15 y + 1.50z = 34.40 ---------------- (3)

        

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fundamentals of Algebraic Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education