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A club decides to sell t-shirts for $12 as a fundraiser. it costs $20 plus $8 per t-shirt to make the t-shirts. write and solve an equation to find how many t-shirts the club needs to sell in order to make a profit of at least $100.

Respuesta :

Jenny61116
12x = money made
20+8x = cost 
where x is the number of t-shirts made
selling for $12 ea
...
Amount made - cost = profit
12x - (20+8x) = 100
12x - 20 - 8x = 100
4x = 100 + 20

4x = 120
x = 30 shirts 
...
Check

Answer:

30

Step-by-step explanation:

Let x be the number of t-shirts.  The t-shirts are sold at $12 and it takes $20 for all the tshirts plus $8 per tshirt. The profit is defined as the price sold minus the price to make the tshirts:

[tex]100=12\cdot{x}-(20+8\cdot{x})[/tex]

We can solve for x:

[tex]100=12\cdot{x}-20-8\cdot{x}[/tex]

[tex]120=4\cdot{x}[/tex]

[tex]x=30[/tex]

The company must sell 30 tshirts to atleast make $100 profit