Explanation Given: The mixture of paints costs $28 per gallon and $34 per gallon is 15 gallons. The cost of those 15gallons is $32. Procedure used: Solving system of equation by Substitution method : (1) Solve either of the equations for one variable in terms of the other. (If one of the equations is already in this form, you can skip this step.) (2) Substitute the expression found in step 1 into the other equation. (3) Solve the equation containing one variable. (4) Back-substitute the value found in step 3 into one of the original equations and find the value of the remaining variable. (5) Check the solution by substituting in one of the system of given equations. Calculation: Consider x and y as the paints costs $28 per gallon and $34 per gallon, respectively. Here the mixture of paints costs $28 per gallon and $34 per gallon is 15 gallons. x + y = 15 x = 15 − y (1) The cost of those 15 gallons is $32. That is the cost of sum of $28 per gallon and $34 per gallon is $32. 28 x + 34 y = 32 ( 15 ) 28 x + 34 y = 480 14 x + 17 y = 240 (2) By using the above procedure, solve the system of equations. Step 1: Since the equation (2) is already in terms of y , no need to isolate the variables. Step 2: Substitute 15 − y for x in the equation (2). 14 x + 17 y = 240 14 ( 15 − y ) + 17 y = 240 Here, the variable x is eliminated. Step 3: Solve the above equation

11th Edition

ISBN: 8220106960455

Author: CARMAN

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 11, Problem 12CPS

To determine

To find: The number of gallons of each kind of paint that should be mixed.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11, Problem 11CPS

Chapter 11, Problem 13CPS

Students have asked these similar questions

What is the vertex, axis of symmerty, all of the solutions, all of the end behaviors, the increasing interval, the decreasing interval, describe all of the transformations that have occurred EXAMPLE Vertical shrink/compression (wider). or Vertical translation down, the domain and range of this graph EXAMPLE Domain: x ≤ -1 Range: y ≥ -4.

use a graphing utility to sketch the graph of the function and then use the graph to help identify or approximate the domain and range of the function. f(x)= x*sqrt(9-(x^2))

use a graphing utility to sketch the graph of the function and then use the graph to help identify or approximate the domain and range of the function. f(x)=xsqrt(9-(x^2))

Chapter 11 Solutions

EBK MATHEMATICS FOR THE TRADES

Ch. 11.1 - Simplify: 2(3 + 2y) 3y Ch. 11.1 - Prob. 2LC Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 5AE Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 7AE Ch. 11.1 - Solve each of the following systems of equations...

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.