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 $35 per box.Which equation can you use to find b, the number of boxes Tim must sell each month for his sales to equal his monthly expenses?(A) 35+12.35b=600+2.65b(B) 35b=600+12.35b+2.65bHow many boxes must Tim sell each month for his sales to equal his monthly expenses?____ boxes
Q. Tim runs Sox Box, a subscription service that regularly sends fun socks to customers. Each box costs 12.35$ 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?(A) 35+12.35b=600+2.65b(B) 35b=600+12.35b+2.65bHow many boxes must Tim sell each month for his sales to equal his monthly expenses?____ boxes
Calculate Total Cost: To find the correct equation, we need to consider the total cost for Tim to produce and ship one box and his monthly advertising expenses. Then we need to set this equal to the revenue from selling b boxes.
Calculate Revenue: The total cost to produce and ship one box is $12.35 (production) + $2.65 (shipping) = $15 per box. Tim's monthly expenses include the cost of producing and shipping the boxes plus the $600 advertising cost.
Set Up Equation: The revenue from selling one box is $35. So, the revenue from selling b boxes is 35b.
Isolate Variable: The correct equation to represent Tim's monthly expenses equaling his sales is the total cost of producing and shipping b boxes plus the advertising cost set equal to the revenue from selling b boxes. This gives us the equation:35b=15b+600
Simplify Equation: 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
Divide to Solve: Simplifying the left side of the equation gives us: 20b=600
Final Answer: Now, we divide both sides by 20 to solve for b.b = rac{600}{20}
Final Answer: Now, we divide both sides by 20 to solve for b.b = rac{600}{20} Calculating the division gives us the number of boxes Tim needs to sell:b=30
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