Tim runs Sox Box, a subscription service that regularly sends fun socks to customers. Each box costs 12.35 $ to produce and 2.65 $ to ship. Tim also spends $600 a month on online advertising. He charges his customers $35 per box. Which equation can you use to find b, the number of boxes Tim must sell each month for his sales to equal his monthly expenses? Choices: (A)35b = 600 + 12.35b + 2.65b (B)35 + 12.35b = 600 + 2.65b How many boxes must Tim sell each month for his sales to equal his monthly expenses? ____ boxes

Question

Tim runs Sox Box, a subscription service that regularly sends fun socks to customers. Each box costs 12.35 $ to produce and 2.65 $ to ship. Tim also spends $600 a month on online advertising. He charges his customers $35 per box. Which equation can you use to find b, the number of boxes Tim must sell each month for his sales to equal his monthly expenses?   Choices: (A)35b = 600 + 12.35b + 2.65b (B)35 + 12.35b = 600 + 2.65b  How many boxes must Tim sell each month for his sales to equal his monthly expenses?   ____ boxes

Bytelearn · Accepted Answer

Set Equation: To find the correct equation, we need to set Tim's total monthly expenses equal to his total monthly sales. The cost to produce and ship one box is $12.35 + $2.65. Tim's monthly fixed expenses are $600 for advertising. He charges $35 per box. We need to find the number of boxes, b, that will make the total sales equal to the total expenses.Calculate Total Cost: First, let's calculate the total cost to produce and ship one box. This is the sum of the production cost and the shipping cost per box. $12.35 (production cost per box) + $2.65 (shipping cost per box) = $15 per box.Set Up Equation: Now, let's set up the equation with the total sales on one side and the total expenses on the other side. Total sales: $35b (since he charges $35 per box) Total expenses: $600 (fixed advertising costs) + $15b (variable production and shipping costs per box) The equation is: $35b = $600 + $15bIsolate Variable: To solve for b, we need to isolate b on one side of the equation. We can do this by subtracting $15b from both sides of the equation. $35b - $15b = $600 $20b = $600Solve for b: Now, we divide both sides of the equation by $20 to solve for b. $20b / $20 = $600 / $20 b = 30

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