Question

A classic painting is now selling for $1000 more than two times its original price. If the selling price is now $12,000, what wasthe painting's original price?

Answer 1

To determine the painting's original price, the equation 2x + $1000 = $12,000 is set up and solved, revealing that the original price was $5,500.

Step-by-step explanation:

To find the original price of the classic painting, we can set up an equation based on the given information. Let the original price be represented by x. The painting is now selling for $1000 more than two times its original price, which can be written as 2x + $1000.

We know that the selling price is $12,000, so we have the following equation:

2x + $1000 = $12,000

Subtracting $1000 from both sides to isolate the term with x on one side:

2x = $12,000 - $1000

2x = $11,000

Dividing by 2 to solve for x:

x = $11,000 / 2

x = $5,500

Therefore, the original price of the painting was $5500.

Answer 2

To answer this question, we have:

1. Let x the original price.

2. Then we have that two times the original price is 2x.

3. The classic painting is now "$1000 more than two times its original price." This indicates that we have to add this amount of money to two times its original price.

Therefore, we have: