Jasmine plans to make and sell birdhouses this summer to earn extra money. She bought some woodworking tools for $286, and she will need to buy $12 worth of wood for each birdhouse. She plans to sell the birdhouses for $25 each.

How many birdhouses must Jasmine sell so that her sales equal the cost of the wood and tools?

1 answer

To determine how many birdhouses Jasmine must sell for her sales to equal the cost of the wood and tools, we first need to calculate her total costs.

  1. Jasmine's initial cost for woodworking tools: Tools cost=286 dollars

  2. The cost of wood per birdhouse is $12. If she sells x birdhouses, the total cost of the wood will be: Cost of wood=12x dollars

  3. Therefore, the total cost including the tools and the wood will be: Total cost=286+12x

Next, we calculate her total sales from selling x birdhouses:

  1. If Jasmine sells each birdhouse for $25, her total sales when she sells x birdhouses will be: Sales=25x dollars

Now, we want to find out when her total sales equal her total costs. Thus, we set up the equation: 25x=286+12x

To solve for x, first, we can subtract 12x from both sides: 25x12x=286 13x=286

Next, we divide both sides by 13 to solve for x: x=28613=22

So, Jasmine must sell 22 birdhouses in order for her sales to equal the total cost of the wood and tools.