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1) Set up, but do not solve, a system of equations for the following application: A nurse mixes a 100% saline solution with a 20% saline solution to produce 160 milliliters of a 25% saline solution. How much of the 100% saline solution and how much of the 20% saline solution were used?

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The systems of the equations for the word problem can be expressed as:

  • x + y = 500              --- (1)
  • 100x + 20y = 4000  --- (2)

What is a system of equations?

The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.

From the given information, we are to determine two quantities

i.e.

  • For 100% saline solution (x) and
  • For 20% saline solution  (y)

So, 100% and 20% of saline solution produce 160 millimeters.

x + y = 160

Also, the combination of 100% and 20% of saline solution give an average of 25%.

The average now = sum of numbers/ the total numbers

25% = sum of numbers/160

sum of numbers = 25% (160)

Therefore, we can equate it to the mixture carried out by the nurse.

i.e.

25% (160) = 100%(x) + 20%(y)

100x + 20y = 4000

Therefore, the systems of the equations are:

x + y = 500              --- (1)

100x + 20y = 4000  --- (2)

Learn more about the system of equations here:
https://brainly.com/question/847634

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