# Algebra in Everyday Life

Algebra is used very frequently in our daily lives. Its use is so common that most of the times we use Algebra without even realizing it.

It supplies us with simple generic formulas with the help of which we can solve our daily life problems with extraordinary ease. It uses symbols such as a, b, c, d, x, y, z etc (instead of actual values) to represent our daily life problems and to find their solutions.

## When you go for a gas refill in your car with $15 in your pocket, and let us say the gas price is$3 per kilogram, how do you calculate the number of kilograms of gas that you can get filled into your car?

### ($15) /($3//kg ) = 5 kgs

#### Explanation:

You simply do the following calculation:

### $10 + 3($5) + 5($8) =$10 + $15 +$40 = $65 #### Explanation: This is a simple calculation but simple arithmetic may not work very well here. Using algebra, you can solve this problem easily: Let • a = price of one dozen eggs =$10
• b = price of one bread = $5 • c = price of one juice bottle =$8

=> Money needed = a + 3b + 5c

=> Money needed = $10 + 3($5) + 5($8) =$10 + $15 +$40 = \$65

#### Note:

The figure shown above illustrates the way you compute the amount needed. You perform “Algebra” quickly in your mind without knowing that you do!

Presented above are a few simple examples of the use of Algebra in our daily life. Algebra is not just limited to schools and various courses as part of the syllabus or curriculum. It is used by almost every person on the face of the earth on a daily basis.

There are thousand such examples where Algebra helps us perform calculations of rather complex nature. Our mind is so much habitual of using it that most of the times we apply it unconsciously.

Our everyday life is full of such examples where we apply simple algebraic techniques for simple arithmetic calculations without "consciously" knowing that we are using algebra. Algebraic techniques are also useful in more advanced calculations, and one again these techniques are in common practice by almost all of us. We present an example here.

### Advanced Example: An Optimization Problem

Very often we come across a situation where we have a couple of different choices. But we want to choose the best option that brings us maximum benefit while staying under some constraints. There is a branch of Algebra called “Linear Programming” that deals with finding the best possible solution to an optimization problem while staying within prescribed limitations / constraints. The real world problem can be represented mathematically through algebraic expressions called linear inequalities. A solution to these linear inequalities gives the optimum solution to the problem.