Question

The selling price for a classic painting is $16,000. What was the painting's original price if it is currentlyselling for $500 more than two times its original price?AnswerKeypadKeyboard Shortcuts$

Answer 1

To answer this question, we will set and solve a linear equation.

Let x be the original price of the painting, with the given information we can set the following equation:

`2x+500=16000.`

Subtracting 500 from the above equation we get:

`2x=16000-500=15500.`

Dividing by 2 we get:

`\begin{gathered} (2x)/(2)=(15500)/(2), \\ x=7750. \end{gathered}`

Therefore, the original price of the painting was

`7750`

dollars.

Answer: $7750.