Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.8, Problem 59AYU
To determine

To find: Go through an algebraic solution. What happens?

Expert Solution & Answer
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Answer to Problem 59AYU

No amounts of 25% and 48% solutions will give a 58% solution.

Explanation of Solution

Given:

Without solving, explain what is wrong with the following mixture problem: How many litres of 25% ethanol should be added to 20 litres of 48% ethanol to obtain a solution of 58% ethanol?

Calculation:

0.25x + 0.48 * 20 = 0.58( x + 20 )

25x + 48 * 20 = 58x + 58x * 20

23x = 10 * 20

x =  200 23 (amount of 25% solution: meaningless).

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