Q49. - Algebra 2

Question

Writing in MATH Answer the question that was posed at the beginning of the lesson.

How are rational expressions used in mixtures?

Include the following in your answer:

• an explanation of how to determine whether the rational expression

representing the nut mixture is in simplest form, and

• an example of a mixture problem that could be represented by $\frac{8+x}{13+x+y}$

Step-by-Step Solution

Answer

• The given form $\frac{8+x}{13+x+y}$ has no common factor. So, it is simplest form.
• The example is if we assume $x$as pounds of peanuts added and $y$is the pounds of cashews added.

Step 1. Given information

A expression is given as $\frac{8+x}{13+x+y}$ 

Step 2. Concept used

Simplest form is that form in which numerator and denominator have no common factor.

For example, take $x$ as pounds of peanuts and $y$  take as pounds of cashews. 

Step 3. Calculation

The rational expression $\frac{8+x}{13+x+y}$ is in simplest form because the numerator and the denominator have no common factors.

Take $x$ as pounds of peanuts and $y$  take as pounds of cashews.

Then the expression of ratio can be written as-

Pounds of peanuts divided by total pounds,

$\frac{8+x}{13+x+y}$