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Q70.

Expert-verifiedFound in: Page 690

Book edition
7th Edition

Author(s)
James Stewart, Lothar Redlin, Saleem Watson

Pages
948 pages

ISBN
9781337067508

**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.

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

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

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)

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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