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In the lab, Lena has two solutions that contain alcohol and is mixing them with each other. She uses 400 milliliters less of Solution A than Solution B.
Solution A is 20% alcohol and Solution B is 17% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 179 milliliters of
pure alcohol?



Answer :

Using a system of equations, it is found that she uses 700 ml of Solution B.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

  • Variable x: Number of ml of Solution A.
  • Variable y: Number of ml of Solution B.

She uses 400 milliliters less of Solution A than Solution B, hence:

x = y - 400.

Solution A is 20% alcohol and Solution B is 17% alcohol. The esulting mixture has 179 milliliters of pure alcohol, hence:

0.2x + 0.17y = 179.

Since x = y - 400, we have that:

0.2(y - 400) + 0.17y = 179.

0.37y = 259

y = 259/0.37

y = 700.

She uses 700 ml of Solution B.

More can be learned about a system of equations at https://brainly.com/question/24342899

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