Explanation Given Information: A 50 % acid solution and 20 % acid solution is being mixed to produce 36 mL of 30 % acid solution. Formula used: Do the following steps to solve a system of linear equations by Addition method: Step 1. Write both the equations in the standard form. That is, A x + B y = C . Step 2. Eliminate the fractions or decimals. This step is optional. Step 3. Multiply one or both the equations by a nonzero constant to create opposite coefficients for one of the variables. Step 4. Add both the equations to eliminate one variable. Step 5. Solve the equation for remaining variable. Step 6. Substitute the known value into one of the equations provided to solve the other variable. Step 7. Check the ordered pair in both the equations. Calculation: The problem can be solved as follows, Each solution contains a percentage of acid plus some other mixing agent such as water. Let ‘ x ’ represents the number of mL of 50 % acid solution and let ‘ y ’ represents the number of mL of 20 % acid solution, Therefore, the given information in the problem can be organized as, 50 % Acid solution 20 % Acid solution 30 % Acid solution Numbers of mL of solution x y 36 Numbers of mL of pure acid 0.5 x 0.2 y 0.3 − ( 36 ) = 10.8 From first row, x + y = 36 From second row, 0.5 x + 0.2 y = 10.8 Solve the equation by addition method, x + y = 36 → M u l t i p l y b y − 2 − 2 x − 2 y = − 72 0.5 x + 0.2 y = 10.8 → M u l t i p l y b y 10 5 x + 2 y = 108 _

ALEKS CORPORATION ALEKS 360 IA BEG & INT

6th Edition

ISBN: 9781264242221

Author: Miller

Publisher: MCG

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Chapter 4, Problem 7T

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To calculate: The amount of $50%$ acid solution and $20%$ acid solution that must be mixed to produce $36$ mL of $30%$ acid solution.

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Chapter 4, Problem 6T

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ALEKS CORPORATION ALEKS 360 IA BEG & INT

Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Solve the system by the graphing method. y = − 3 x...Ch. 4.1 - Solve the system by the graphing method. y = 2 x −...Ch. 4.1 - Solve the system by the graphing. 5. Ch. 4.1 - Solve the system by the graphing. 6. Ch. 4.1 - a. A______ of linear equations consists of two or...Ch. 4.1 - For Exercises 2-10, determine if the given point...Ch. 4.1 - Prob. 3PE Ch. 4.1 - Prob. 4PE

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The amount of 50 % acid solution and 20 % acid solution that must be mixed to produce 36 mL of 30 % acid solution.

Solution Summary: The author explains how to solve a system of linear equations by Addition method.

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To calculate: The amount of $50%$ acid solution and $20%$ acid solution that must be mixed to produce $36$ mL of $30%$ acid solution.

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