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

Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)

11th Edition

ISBN: 9780134765785

Author: Hal Saunders

Publisher: PEARSON

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Chapter 11, Problem 12CPS

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

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Chapter 11, Problem 11CPS

Chapter 11, Problem 13CPS

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Chapter 11 Solutions

Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)

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...

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