A barista wants to mix coffee that costs $3.75/lb. with coffee that costs $7.25/lb to get 10 lbs of coffee that will cost $5.85/lb. How much of each coffee must the barista use?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
icon
Concept explainers
Topic Video
Question

A barista wants to mix coffee that costs $3.75/lb. with coffee that costs $7.25/lb to get 10 lbs of coffee that will cost $5.85/lb. How much of each coffee must the barista use?

Expert Solution
Step 1

Total amount of coffee = 10 lbs

Suppose, the barista mixes x lbs of the first type of coffee with (10 - x) lbs of the second type.

So, x lbs of coffee at the rate of $3.75/lb will cost, $(3.75x) 

And, (10 - x) lbs of coffee at the rate of $7.25/lb will cost, $(10-x)×7.25 = $72.5 - $7.25x

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning