Question

A chemist needs 50 milliliters of a 25% solution but has only 22% and 27% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

Answer 1

The chemist needs 20 liters of 22% solution and 30 liters of 27% of solution to form 50 milliliters of a 25% solution

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the amount of 22% and y represent the amount of 27%, hence:

x + y = 50     (1)

Also:

0.22x + 0.27y = 0.25(50)   (2)

From both equations:

x = 20 and y =30

The chemist needs 20 liters of 22% solution and 30 liters of 27% of solution to form 50 milliliters of a 25% solution

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