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Q70.

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Precalculus Mathematics for Calculus
Found in: Page 690
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

A biologist has two brine solutions, one

containing 5% salt and another containing 20% salt. How

many milliliters of each solution should she mix to obtain

1 L of a solution that contains 14% salt?

For the given mixture problem, we get that 400 ml of 5% salt solution should be mixed with 600 ml of 20% salt solution.

See the step by step solution

Step by Step Solution

Step 1. Given information.

x = number of ml of the 5% salt brine solution.

y = number of ml of the 20% salt brine solution.

Step 2. Write down the concept.

Since 1L = 1000ml

Thus, the total amount of brine solution would be

x + y = 1000 …….(1)

Also from the given information we have

0.05x + 0.2y = 140 ……….(2)

Step 3. Determining the values

Solving equation (1) and (2) we have,

From (1) we get

y = 1000 - x

Substituting this in equation (2), we get

0.05x + 0.2(1000-x) = 140

0.05x + 200 -0.02x = 140

-0.15x = -60

x = 400

Thus,

y = 1000-400

y = 600

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