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11) Solve the problem. Write out your check and write your answer in complete sentence form including correct units. It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 70 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength? Show your work here: Write your sentence answer here using correct units: Write out your check here using the information from the original wording of the problem. Do not check by using your equation because that could be incorrect:

11) Solve the problem. Write out your check and write your answer in complete sentence form including correct units. It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 70 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength? Show your work here: Write your sentence answer here using correct units: Write out your check here using the information from the original wording of the problem. Do not check by using your equation because that could be incorrect:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem:** Solve the problem. Write out your check and write your answer in complete sentence form including correct units. It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 70 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength? **Show your work here:** (Here should be the step-by-step solution starting from the current situation and defining the variables used to solve the equation. Typically, the steps involve forming an equation based on the concentrations and volumes, solving for the desired variable, and ensuring calculations are clear and well-explained.) **Write your sentence answer here using correct units:** (Provide the final answer in a complete sentence form, such as: "To achieve the desired 40% antifreeze solution, you need to drain X liters of the current solution and replace it with X liters of 100% antifreeze.") **Write out your check here using the information from the original wording of the problem. Do not check by using your equation because that could be incorrect:** (Here, revalidate the solution using the original problem conditions to ensure the answer is correct. This typically involves substituting the final answer back into the original scenario to check if the resulting solution concentration matches the desired percentage.)
Transcribed Image Text:**Problem:** Solve the problem. Write out your check and write your answer in complete sentence form including correct units. It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 70 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength? **Show your work here:** (Here should be the step-by-step solution starting from the current situation and defining the variables used to solve the equation. Typically, the steps involve forming an equation based on the concentrations and volumes, solving for the desired variable, and ensuring calculations are clear and well-explained.) **Write your sentence answer here using correct units:** (Provide the final answer in a complete sentence form, such as: "To achieve the desired 40% antifreeze solution, you need to drain X liters of the current solution and replace it with X liters of 100% antifreeze.") **Write out your check here using the information from the original wording of the problem. Do not check by using your equation because that could be incorrect:** (Here, revalidate the solution using the original problem conditions to ensure the answer is correct. This typically involves substituting the final answer back into the original scenario to check if the resulting solution concentration matches the desired percentage.)
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0.4=14-0.2x+x700.4=14+0.8x7028=14+0.8x0.8x=14x=17.5 liter

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