Question

andrew uses the equation 25(x-4)=30x where x represents the number of sales,to determine the number of items he needs to sell to break even.which state ment is true about the equation? the equation used to solve for x is

Answer 1

The equation we have to solve is:

$25(x-4)=30x$

Steps to solve the equation for x.

Step 1. Use distributive property on the left side to multiply 25 by x and by -4:

$25x-100=30x$

That is because 25 by x is 25x and 25 by -4 is -100.

Step 2. Subtract 25x from both sides:

$\begin{gathered} -100=30x-25x \\ -100=5x \end{gathered}$

Step 3. Divide both sides by 5:

$\begin{gathered} \frac{-100}{5}=x \\ -20=x \end{gathered}$

Since x is negative, that means he needs to make 20 sales to break even.

Answer: 20 sales.