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Two companies sell shirts.
Shirts-R-Us charges a shipping fee of $50, and each shirt costs $4.
We-Sell-Shirts charges a shipping fee of $25, and each shirt costs $9.
How many shirts must each company sell for the costs to be equal?

Sagot :

Answer:

5 shirts

Step-by-step explanation:

We can write the costs of both companies being equal as [tex]50 + 4s = 25 + 9s[/tex], where s = shirts.

Now, we solve this equation algebraically to find the # of shirts to break even.

Step 1: Subtract 4s from both sides.

  • [tex]50+4s-4s=25+9s-4s[/tex]
  • [tex]50 = 25+5s[/tex]

Step 2: Subtract 25 from both sides.

  • [tex]50-25=25+5s-25[/tex]
  • [tex]25=5s[/tex]

Step 3: Divide both sides by 5.

  • [tex]25/5 = 5s/5[/tex]
  • [tex]s = 5[/tex]

Step 4: Check if solution is correct.

  • [tex]50 + 4(5) = 25+9(5)[/tex]
  • [tex]50+20= 25+45[/tex]
  • [tex]70=70[/tex]

Therefore, the answer is 5 shirts.

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