Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.8, Problem 20P

To determine

Find that liters of solution that must be drawn off and replaced by a 75% antifreeze solution to leave the radiator filled with a 55% antifreeze solution.

Expert Solution & Answer

Answer to Problem 20P

3 L

Explanation of Solution

Given :

A car radiator is filled with 5 L of a 25% antifreeze solution.

Calculation:

Let the liters of 25% antifreeze solution that is drawn off and replaced by 75% antifreeze solution = x

Total antifreeze solution = 5 L

So, 25% antifreeze solution = (5- x )

New solution in radiator is 5 L of 55% antifreeze solution .

So,

75100x+25100(5−x)=55100×5⇒25(3)100x+25100(5−x)=55100×5⇒25100(2x+5)=55100×5⇒(2x+5)=55100×5×10025...............[multiply each side by 10025]⇒(2x+5)=11⇒2x=11−5.................................[subtract 5 from each side]⇒2x=6⇒x=3.........................................[divide each side by 2]

So,

3 L of 25% solution must be drawn off and replaced by 75% antifreeze solution to make 55% of antifreeze solution in the radiator.

Chapter 5.8, Problem 19P

Chapter 5.8, Problem 21P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

Ch. 5.1 - Prob. 11OE Ch. 5.1 - Prob. 12OE Ch. 5.1 - Prob. 1WE Ch. 5.1 - Prob. 2WE Ch. 5.1 - Prob. 3WE Ch. 5.1 - Prob. 4WE Ch. 5.1 - Prob. 5WE Ch. 5.1 - Prob. 6WE Ch. 5.1 - Prob. 7WE Ch. 5.1 - Prob. 8WE Ch. 5.1 - Prob. 9WE Ch. 5.1 - Prob. 10WE Ch. 5.1 - Prob. 11WE Ch. 5.1 - Prob. 12WE Ch. 5.1 - Prob. 13WE Ch. 5.1 - Prob. 14WE Ch. 5.1 - Prob. 15WE Ch. 5.1 - Prob. 16WE Ch. 5.1 - Prob. 17WE Ch. 5.1 - Prob. 18WE Ch. 5.1 - Prob. 19WE Ch. 5.1 - Prob. 20WE Ch. 5.1 - Prob. 21WE Ch. 5.1 - Prob. 22WE Ch. 5.1 - Prob. 23WE Ch. 5.1 - Prob. 24WE Ch. 5.1 - Prob. 25WE Ch. 5.1 - Prob. 26WE Ch. 5.1 - Prob. 27WE Ch. 5.1 - Prob. 28WE Ch. 5.1 - Prob. 29WE Ch. 5.1 - Prob. 30WE Ch. 5.1 - Prob. 31WE Ch. 5.1 - Prob. 32WE Ch. 5.1 - Prob. 33WE Ch. 5.1 - Prob. 34WE Ch. 5.1 - Prob. 35WE Ch. 5.1 - Prob. 36WE Ch. 5.1 - Prob. 1MRE Ch. 5.1 - Prob. 2MRE Ch. 5.1 - Prob. 3MRE Ch. 5.1 - Prob. 4MRE Ch. 5.1 - Prob. 5MRE Ch. 5.1 - Prob. 6MRE Ch. 5.1 - Prob. 7MRE Ch. 5.1 - Prob. 8MRE Ch. 5.1 - Prob. 9MRE Ch. 5.1 - Prob. 10MRE Ch. 5.1 - 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Find that liters of solution that must be drawn off and replaced by a 75 % antifreeze solution to leave the radiator filled with a 55 % antifreeze solution.

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Find that liters of solution that must be drawn off and replaced by a 75% antifreeze solution to leave the radiator filled with a 55% antifreeze solution.

Answer to Problem 20P

Explanation of Solution

Chapter 5 Solutions

Additional Math Textbook Solutions