two solutions of salt water contain 0.1% and 0.22% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.19% salt. How much of each solution should she use?

0.25 L at 0.1% and 0.75 L at 0.22%

Step-by-step explanation:

We have to:

         percent                                 quantity

  Salt solution # 1 0.1                            x L

 Salt solution # 2 0.22                     (1 - x) L

    Mixture 0.19%                                    1

We are left with the following equation:

0.1 * x + 0.22 * (1-x) = 0.19 * 1

solving:

0.1 * x + 0.22-0.22 * x = 0.19

0.1 * x- 0.22 * x = 0.19 - 0.22

-0.12 * x = -0.03

x = -0.03 / -0.12

x = 0.25

Which means

Salt solution # 1 0.1% 0.25 L should be used and for salt solution # 2 0.22% 0-75 (1 - 0.25) L

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.