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Tim runs Sox Box, a subscription service that regularly sends fun socks to customers. Each box costs 12.3512.35 $\$ to produce and 2.652.65 $\$ to ship. Tim also spends $600\$600 a month on online advertising. He charges his customers $35\$35 per box.\newlineWhich equation can you use to find bb, the number of boxes Tim must sell each month for his sales to equal his monthly expenses?\newline(A) 35+12.35b=600+2.65b35 + 12.35b = 600 + 2.65b\newline(B) 35b=600+12.35b+2.65b35b = 600 + 12.35b + 2.65b\newlineHow many boxes must Tim sell each month for his sales to equal his monthly expenses?\newline____\_\_\_\_ boxes\newline

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Q. Tim runs Sox Box, a subscription service that regularly sends fun socks to customers. Each box costs 12.3512.35 $\$ to produce and 2.652.65 $\$ to ship. Tim also spends $600\$600 a month on online advertising. He charges his customers $35\$35 per box.\newlineWhich equation can you use to find bb, the number of boxes Tim must sell each month for his sales to equal his monthly expenses?\newline(A) 35+12.35b=600+2.65b35 + 12.35b = 600 + 2.65b\newline(B) 35b=600+12.35b+2.65b35b = 600 + 12.35b + 2.65b\newlineHow many boxes must Tim sell each month for his sales to equal his monthly expenses?\newline____\_\_\_\_ boxes\newline
  1. 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 bb boxes.
  2. Calculate Revenue: The total cost to produce and ship one box is $12.35\$12.35 (production) + $2.65\$2.65 (shipping) = $15\$15 per box. Tim's monthly expenses include the cost of producing and shipping the boxes plus the $600\$600 advertising cost.
  3. Set Up Equation: The revenue from selling one box is $35\$35. So, the revenue from selling bb boxes is 35b35b.
  4. Isolate Variable: The correct equation to represent Tim's monthly expenses equaling his sales is the total cost of producing and shipping bb boxes plus the advertising cost set equal to the revenue from selling bb boxes. This gives us the equation:\newline35b=15b+60035b = 15b + 600
  5. Simplify Equation: To solve for bb, we need to isolate bb on one side of the equation. We can do this by subtracting 15b15b from both sides of the equation.\newline35b15b=60035b - 15b = 600
  6. Divide to Solve: Simplifying the left side of the equation gives us: 20b=60020b = 600
  7. Final Answer: Now, we divide both sides by 2020 to solve for bb.\newlineb = rac{600}{20}
  8. Final Answer: Now, we divide both sides by 2020 to solve for bb.\newlineb = rac{600}{20} Calculating the division gives us the number of boxes Tim needs to sell:\newlineb=30b = 30

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