Question

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?

Answer 1

5 shirts

Explanation:

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

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

Step 1: Subtract 4s from both sides.

• 
  `50+4s-4s=25+9s-4s`
• 
  `50 = 25+5s`

Step 2: Subtract 25 from both sides.

• 
  `50-25=25+5s-25`
• 
  `25=5s`

Step 3: Divide both sides by 5.

• 
  `25/5 = 5s/5`
• 
  `s = 5`

Step 4: Check if solution is correct.

• 
  `50 + 4(5) = 25+9(5)`
• 
  `50+20= 25+45`
• 
  `70=70`

Therefore, the answer is 5 shirts.

Have a lovely rest of your day/night, and good luck with your assignments! ♡