Question

scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution.

To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.



Solution:
liters of 5% and
liters of 40%.

Answer 1

The scientist needs 40/7 liters of 5% solution and 30/7 liters of 40% solution to make 10 liters of a 20% acid solution

What is an equation?

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

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let x represent the amount of 5% solution and y represent the amount of 40% solution. The scientist needs 10 liters of a 20% acid solution, hence:

x + y = 10      (1)

Also:

0.05x + 0.4y = 10(0.2)   (2)

From both equations:

x = 40/7 liters, y = 30/7 liters

The scientist needs 40/7 liters of 5% solution and 30/7 liters of 40% solution to make 10 liters of a 20% acid solution

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