ART An artist is going to sell two sizes of prints at an art fair. The artist will change $20 for a small print and $45 for a large print. The artist would like to sell twice ad many small prints as large prints. The booth the artist is renting for the day cost $510. How many of each size print must the artist sell in order to break even at the fair? 1. How much will the artist spend to rent a booth? 2. What do you know about the selling prices of the prints? 3. What you know about the number of prints the artist would like to sell?
4. What is the problem asking you to determinate?
If there are x large prints, then there are 2x small prints. To break even, he needs
20*2x + 45*x = 510
I think you can now easily answer all the questions. Most of them don't even depend on the number of prints sold.
1. To find out how much the artist will spend to rent a booth, we are given that the booth cost is $510. So, the artist will spend $510 to rent the booth.
2. The selling prices of the prints are given as $20 for a small print and $45 for a large print. This means that the artist will earn $20 for each small print sold and $45 for each large print sold.
3. It is mentioned that the artist would like to sell twice as many small prints as large prints. This implies that the number of small prints sold should be double the number of large prints sold.
4. The problem is asking us to determine how many of each size print the artist must sell in order to break even at the fair. This means that the total earnings from selling the prints should cover the cost of renting the booth ($510), resulting in a net profit of zero.