Ann is starting a digital art business. She spends $89 on software and $394 on online advertisements. Printing and framing each piece of art will cost her $14, and she will sell each piece for $35. Which equation can you use to find a, the number of pieces of art Ann must sell for her sales to equal her expenses? Choices: (A)35a = 89 + 394 + 14a (B)89a = 35a + 394 + 14 How many pieces of art must Ann sell for her sales to equal her expenses? ____ pieces of art

Question

Ann is starting a digital art business. She spends $89 on software and $394 on online advertisements. Printing and framing each piece of art will cost her $14, and she will sell each piece for $35. Which equation can you use to find a, the number of pieces of art Ann must sell for her sales to equal her expenses?   Choices: (A)35a = 89 + 394 + 14a (B)89a = 35a + 394 + 14  How many pieces of art must Ann sell for her sales to equal her expenses?   ____ pieces of art

Bytelearn · Accepted Answer

Calculate Total Expenses: Ann's total expenses are the sum of her software and online advertisement costs, plus the cost of printing and framing each piece of art. To find the total expenses, we add the software cost ($89) to the advertisement cost ($394) and multiply the cost per piece ($14) by the number of pieces (a). Total expenses = $89 + $394 + $14aCalculate Total Sales: Ann's total sales are the amount she sells each piece of art for ($35) times the number of pieces she sells (a). Total sales = $35aFind Break-even Point: To find the break-even point where sales equal expenses, we set the total sales equal to the total expenses. $35a = $89 + $394 + $14a This is the equation we can use to find a, the number of pieces of art Ann must sell for her sales to equal her expenses. The correct choice is (A) 35a = 89 + 394 + 14a.Combine Constant Terms: Now we solve for a. First, we combine the constant terms on the right side of the equation. $35a = $89 + $394 + $14a $35a = $483 + $14aIsolate Variable Term: Next, we subtract $14a from both sides to isolate the variable term on one side. $35a - $14a = $483 $21a = $483Solve for a: Finally, we divide both sides by $21 to solve for a. $21a / $21 = $483 / $21 a = 23

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