To find the number of units that gives break-even for the product, solve the equation R $$\mathbf { R } = \mathbf { C }$$ ound your answer to the
nearest whole unit.
-A chemist has two solutions that contain different concentrations of a certain acid. One is a 4% concentration and the other is an 11% concentration. How many cubic centimeters of each should the chemist mix to obtain 50
Cm3 of a solution with an acid concentration of 7.64%?
A) 25 cc of the 4% solution and 25 cc of the 11% solution
B) 26 cc of the 4% solution and 24 cc of the 11% solution
C) No solution
D) 24 cc of the 4% solution and 26 cc of the 11% solution

Question

Quizplus · Accepted Answer

To solve this, we use the equation for mixture problems: (amount of first solution * its concentration) + (amount of second solution * its concentration) = (total amount of mixture * desired concentration). Let x be the amount of the 4% solution, then (50-x) will be the amount of the 11% solution. The equation becomes: 0.04x + 0.11(50-x) = 50*0.0764. Solving for x gives approximately 24 cc for the 4% solution, meaning 26 cc for the 11% solution.

To Find the Number of Units That Gives Break-Even for the Product