Pam recently started selling custom T-shirts online. She spent $504 on screen-printing tools, and she spends 4.50 $ per shirt on supplies. She is selling each shirt for $15. Which equation can you use to find s, the number of T-shirts Pam must sell for her sales to equal her expenses? Choices: (A)15s = 504 + 4.5s (B)504 + 15s = 4.5s How many T-shirts must Pam sell for her sales to equal her expenses? ____ T-shirts

Question

Pam recently started selling custom T-shirts online. She spent $504 on screen-printing tools, and she spends 4.50 $ per shirt on supplies. She is selling each shirt for $15. Which equation can you use to find s, the number of T-shirts Pam must sell for her sales to equal her expenses?   Choices: (A)15s = 504 + 4.5s (B)504 + 15s = 4.5s  How many T-shirts must Pam sell for her sales to equal her expenses?   ____ T-shirts

Bytelearn · Accepted Answer

Set Expenses Equal to Sales: To find the correct equation, we need to set Pam's total expenses equal to her total sales. Her initial expense is $504 for screen-printing tools, and her ongoing expense is $4.50 per shirt. Her income from selling shirts is $15 per shirt. Let's denote the number of T-shirts she needs to sell as s.Calculate Total Expenses and Sales: The total expense for making s shirts is the initial expense plus the cost per shirt times the number of shirts, which is $504 + $4.50s. The total sales from selling s shirts is $15 per shirt, which is $15s. To find the break-even point, we set the total expenses equal to the total sales: $504 + $4.50s = $15s.Solve Equation for Number of Shirts: Now we need to solve the equation $504 + $4.50s = $15s for s. To do this, we subtract $4.50s from both sides to get all the terms with s on one side of the equation. $504 + $4.50s - $4.50s = $15s - $4.50s This simplifies to: $504 = $15s - $4.50sCombine Like Terms: Next, we combine like terms on the right side of the equation: $504 = $15s - $4.50s $504 = $10.50sDivide to Find Break-Even Point: To find the value of s, we divide both sides of the equation by $10.50: $504 / $10.50 = $10.50s / $10.50Performing the division gives us the number of T-shirts Pam must sell to break even: $504 / $10.50 = s s = 48

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