25. [-/1 Points] \( ] \) An art gallery agreed to sell an artist's sculpture for a commission of \( 45 \% \). What must be the selling price (in dollars) of the sculpture if the gallery would like to make \( \$ 14,400 \) ? SUBMIT ANSWER SUSK YOUR TEAC

To find the selling price of the sculpture, let’s denote the selling price as \( x \). Since the gallery takes a commission of \( 45\% \), it means the artist keeps \( 55\% \) of the sale price. We can express this as: \[ 0.55x = 14,400 \] Now, solve for \( x \): \[ x = \frac{14,400}{0.55} \approx 26,181.82 \] So, the selling price of the sculpture should be approximately \( \$26,181.82 \). Here's a cool historical tidbit: 45% commission might seem steep today, but in the early art markets, galleries often charged even higher fees for promoting artists. This was especially true during the Renaissance when artists depended heavily on patrons who would take a chunk of sales to cover costs. In practice, understanding commission structures can transform how artists price their work. Artists need to consider not just their costs, but also how much they would actually receive after these deductions. A clear grasp of these figures is essential to ensure they don't underprice their valuable creations!