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In Mathematics / Middle School | 2014-04-17

David works at the T-Shirt Shack selling tees. The equation [tex]y = 15x - 520[/tex] represents the profit that the T-Shirt Shack makes for each T-shirt sold, where [tex]y[/tex] is the total profit and [tex]x[/tex] is the number of T-shirts sold. How many T-shirts does the T-Shirt Shack need to sell to make a profit of $140?

Asked by Indiad8

Answer (2)

To find out how many T-shirts the T-Shirt Shack needs to sell to make a profit of $140, we use the given profit equation which is y = 15x - 520. Here, y represents the total profit and x is the number of T-shirts sold. To solve for x , we set y equal to $140 and solve for x :
140 = 15x - 520
Add 520 to both sides to isolate the term with x :
140 + 520 = 15x
660 = 15x
Now divide both sides by 15 to solve for x :
x = 660 / 15
x = 44
So, the T-Shirt Shack needs to sell 44 T-shirts to make a profit of $140.

Answered by Adella123 | 2024-06-24

The T-Shirt Shack needs to sell 44 T-shirts to achieve a profit of $140, as determined by solving the equation y = 15 x − 520 . By substituting y with 140 and solving for x , we find that x = 44 . Therefore, 44 T-shirts must be sold for that profit level.
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Answered by Adella123 | 2024-08-29