Explanation Given information: There are two solutions, Solution A is 30 % alcohol and solution B is 75 % alcohol. Formula used: There are the steps to be used for translating this problem. Step1: Familiarize. First the variable to the quantity which is to be calculated. Step2: Translate. Now the provided problem into an equation using variable. Step3: Solve. Solve both the equations of two variable using substitution method. Step4: Check. Put the solutions obtained in the original equation. Calculation: Familiarize: Consider x is the litres of solution A and y is the litres of solution B. Arranging the information in a table, Solution A Solution B Mixture Equation Amount of Solution x y 100 x + y = 100 Percent of Alcohol 30 % 75 % 50 % Amount of alcohol in mixture 30 % x = 0.3 x 75 % y = 0.75 y 50 % 100 = 50 100 × 100 = 50 0.30 x + 0.75 = 50 From the second row of the table, x + y = 100 …… ( 1 ) The value of amount of solution A is 0.3 x , amount of solution B is 0.75 y , and the value of mixture is 50 Thus, Total mixture: 0.30 x + 0.75 y = 50 …… ( 2 ) By using elimination method to solved the given equation (1) and equation (2). Now, Multiply by − 0.30 on both sides of equation ( 1 ) x + y = 100 , − 0.30 x − 0.30 y = − 30 Add this new equation − 0

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ISBN: 9781323235911

Author: BITTINGER

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Chapter 13.4, Problem 22ES

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To calculate: The amount of each solution that must use in order to make 100 L of a solution that is 50% alcohol where solution A is 30% alcohol and solution B is 75%.

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Chapter 13.4, Problem 21ES

Chapter 13.4, Problem 23ES

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Chapter 13 Solutions

DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<

Ch. 13.1 - Prob. 1SR Ch. 13.1 - Prob. 2SR Ch. 13.1 - Prob. 1DE Ch. 13.1 - Prob. 2DE Ch. 13.1 - Prob. 3DE Ch. 13.1 - Prob. 4DE Ch. 13.1 - Prob. 5DE Ch. 13.1 - Prob. 6DE Ch. 13.1 - Prob. 7DE Ch. 13.1 - Prob. 8DE

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The amount of each solution that must use in order to make 100 L of a solution that is 50 % alcohol where solution A is 30 % alcohol and solution B is 75 % .

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To calculate: The amount of each solution that must use in order to make 100 L of a solution that is 50% alcohol where solution A is 30% alcohol and solution B is 75%.

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Chapter 13 Solutions