Algebra Mixture Problems

Introduction:

Algebra is the branch of math which deals with the study of rules of operations and relations, and the concepts and constructions arising from them, including polynomials, terms, algebraic structures and equations, along with analysis, topology, geometry, and number theory. Algebra is one of the ultimate branches of mathematics.

Mixture Word problems:

Word problem is a part of algebra in which the problem is given in a statement form, from which the equations has to be figured out and then they have to be solved to achieve the answers. In mixture problems, a certain mixture of some concentration is combined with a certain mixture of other concentration asking to find out the the new mixture’s exact concentration. Word problems require some very good understanding ability because the equation has to be formed.

Example on mixture problems:

1. Two solutions of 90% and 97% purity are mixed resulting in 21liters of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?

Solution : Let x be the first solution of the two,

So, 90% of x +97 % of other solution gives 21litres of 94% new solution,

Therefore the equation is as follows,

x (0.9) + 0.97 (21-x) =21 (0.94)

Solving it for x 0.9x + 20.37 – 0.97x = 19.74

Dividing by 0.07 on both sides 0.07x = 0.63

X= 9