To determine The quantity of each of pretzel, dried fruit, and nut should be used to produce 140 pounds of trail mix. Explanation Given: Pretzels cost $ 3 per pound, dried fruit $ 4 per pound, and nuts $ 8 per pound. The costing of the trail mix is $ 6 per pound. Total 140 pound of trail mix should be produced. There are twice as many pretzels (by weight) as dried fruit Explanation: Consider x pound of pretzels, y pound of dried fruit and z pound of nuts must be fixed to produce 140 pounds of trail mix. As total weight of the mixture is 140 pounds hence, x + y + z = 140 … … ( 1 ) As pretzels cost $ 3 per pound, dried fruit $ 4 per pound, and nuts $ 8 per pound and the cost of 140 pound of mixture is $ 6 per pound hence, 3 x + 4 y + 8 z = 140 × 6 = 840 … … ( 2 ) As there are twice as many pretzels (by weight) as dried fruit hence, x = 2 y That is: x − 2 y = 0 … … ( 3 ) Therefore, the system of equation ( 1 ) ( 2 ) and ( 3 ) can be written as in the matrix form as: [ 1 1 1 3 4 8 1 − 2 0 ] [ x y z ] = [ 140 840 0 ] Therefore, the corresponding augmented matrix is: A ¯ = [ 1 1 1 140 3 4 8 840 1

12th Edition

ISBN: 8220106844557

Author: MULLINS

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 6.3, Problem 21E

To determine

The quantity of each of pretzel, dried fruit, and nut should be used to produce 140 pounds of trail mix.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.3, Problem 20E

Chapter 6.3, Problem 22E

Students have asked these similar questions

A rug company weaves rugs that are made by repeating the design in Figure 12.49. Lengths of portions of the design are indicated in the figure. The yarn for the shaded portion of the design costs $5 per square unit, and the yarn for the unshaded portion of the design costs $3 per square unit. How much will the yarn for a 60-unit-by-84-unit rug cost? Explain your reasoning.

Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 30% of its output to Fuels and 60% to Machinery and retains the rest. Fuels sells 70% of its output to Chemicals and 20% to Machinery and retains the rest. Machinery sells 40% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below a. Construct the exchange table for this economy. Distribution of Output from: Chemicals Fuels Machinery (Type integers or decimals.) Purchased by: Chemicals Fuels Machinery

A particle travels along a straight line path given by s=9.5t3-2.2t2-4.5t+9.9 (in meters). What time does it change direction? Report the higher of the answers to the nearest 2 decimal places in seconds.

Chapter 6 Solutions

EBK MATHEMATICS WITH APPLICATIONS IN TH

Ch. 6.1 - Checkpoint1 Use the substitution method tosolve...Ch. 6.1 - Checkpoint 2 Use the elimination method to solve...Ch. 6.1 - Checkpoint 3 Solve the system of equations . Draw...Ch. 6.1 - Checkpoint 4 Solve the following system: Ch. 6.1 - Checkpoint 5 Solve the system Draw the graph of...Ch. 6.1 - Prob. 6CP Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.