Jen plans to sell homemade candles online. She spent $44 on a melting pot, and she will spend $4 on wax and $2 on a jar for each candle she makes. She will sell her candles for $10 each. Which equation can you use to find c, the number of candles Jen must sell for her sales to equal her expenses? Choices: (A)44 + 4c = 10c + 2c (B)10c = 44 + 4c + 2c How many candles must Jen sell for her sales to equal her expenses? ____ candles

Question

Jen plans to sell homemade candles online. She spent $44 on a melting pot, and she will spend $4 on wax and $2 on a jar for each candle she makes. She will sell her candles for $10 each. Which equation can you use to find c, the number of candles Jen must sell for her sales to equal her expenses?   Choices: (A)44 + 4c = 10c + 2c (B)10c = 44 + 4c + 2c  How many candles must Jen sell for her sales to equal her expenses?   ____ candles

Bytelearn · Accepted Answer

Set Up Equation: To find the break-even point where Jen's sales equal her expenses, we need to set up an equation where the total cost of making the candles is equal to the revenue from selling the candles.Calculate Costs: Jen's initial investment is $44 for the melting pot. The cost to make each candle is $4 for wax and $2 for a jar, so the total cost per candle is $4 + $2 = $6.Calculate Revenue: Jen sells each candle for $10, so her revenue for each candle sold is $10.Define Variables: Let c be the number of candles Jen needs to sell to break even. The total cost of making c candles is $44 (initial investment) + $6c (cost per candle times the number of candles). The total revenue from selling c candles is $10c.Establish Break-Even Equation: The break-even equation is the total cost equal to the total revenue: $44 + $6c = $10c.Isolate Variable: To solve for c, we need to isolate c on one side of the equation. We can do this by subtracting $6c from both sides of the equation: $44 + $6c - $6c = $10c - $6c, which simplifies to $44 = $4c.Solve for c: Now, divide both sides by $4 to solve for c: $44 / $4 = $4c / $4, which simplifies to 11 = c.Final Result: Jen must sell 11 candles to break even.

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