Q48. - Algebra 2

Question

Megan exercises every morning for $40$ minutes. She does a combination of step aerobics, which burns about $11$ Calories per minute, and stretching, which burns about 4 Calories per minute. Her goal is to burn $335$ Calories during her routine.

Write a system of equations that represents Megan's morning workout.

Step-by-Step Solution

Answer

The equations so formed for the given question is  $\begin{array}{c}x+y=40\\ 11x+4y=335\end{array}.$

Step-1 – Apply the concept of system of equations

A set of two or more equations with the same variables is called a system of linear equations. The ordered pairs that satisfy all the equations in the system is called as solution of the equations.

Step-2 – Formation of the equations

Let us suppose the number of minutes she does step aerobics be x minutes and the number of minutes she does stretching be y minutes.

Now according to the question, Megan exercises for $40$minutes every day.

The first equation so formed is below.

$x+y=40$.

Step-3 – Formation of the equations

Consider the second statement.

She burns $11$ calories per minute in step aerobics and 4 calories per minute in stretching. Her goal is to burn $335$ calories in total. This can be mathematically expressed as.

$11x+4y=335$

Hence, both the equations so formed for the given question are .

$\begin{array}{c}x+y=40\\ 11x+4y=335\end{array}$