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Rashawn recently spent $100 to open a store selling tee-shirts. At his business, he purchases plain tee-shirts for $11 each, prints graphics on them, and then sells them for $26 each. What is the minimum number of tee-shirts that Rashawn would need to sell in order to make a profit of at least $400?

Respuesta :

To answer this question you can write an equation that represents this situation.

I would subtract $11 (the cost per shirt) from the selling price to get $15 profit for each shirt. He paid $100 already and wants to profit $400, so the amount he needs to make is $500.

$15x = $500 would be the equation needed to answer this. x stands for the number of shirts.

Divide both sides by $15 to get
x = 33.33.... shirts.

He would need to sell at least 34 to make at least $400 profit.
ajeigbeibraheem

Rashawn recently spent $100 to open a store selling tee shirts. At his business, he purchases plain tee shirts for $11 each, prints graphics on them, and sells them for $26 each. The minimum number of tee shirts that Rashawn would need to sell in order to make a profit of at least $400 is 34 tee shirts.

From the given information;

  • Rashawn purchases plain tee shirts for $11 and sells them for $26 each.
  • It implies that his profit on each tee shirt will be = $26 - $11
  • = $15

  • Recall that the amount spent on his store    = $100
  • He is also willing to make a profit of at least = $400
  • Total                                                                   = $500

Now, if the profit of each tee shirt = $15 and he's has spent $500, the number of tee shirts he needs to sell to get back $500 will be:

  • 15t = 500

where;

  • t = number of tee shirts to be sold.

t can now be:

[tex]\mathbf{t = \dfrac{500}{15}}[/tex]

t = 33.33

t ≅ 33 tee shirts

Now, to confirm if 33 tee shirts are equivalent to the amount spent; we have:

= 33 × 15

= $495

So, we would want to add an additional tee shirt to make it 34 in order to determine the minimum number of tee shirts sold to make at least $500 since a half tee shirt can't be sold.

∴

= 34 × 15

= $510

Therefore, we can conclude that the minimum number of tee-shirts that Rashawn would need to sell in order to make a profit of at least $400 and to recover the amount spent on his store of $100 will be 34 tee shirts.

Learn more about profit and loss here:

https://brainly.com/question/17072381?referrer=searchResults

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