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mrs ramirez is making pies to sell at the local farmers market it costs her $ 5 to make each pie plus a. one time cost of & 30 for baking supplies. she plans to sell the pies $12 which equiation can be used to find the number of pie she needs to sell to break even

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Final answer:

The equation to find the number of pies Mrs. Ramirez needs to sell to break even is 30 + 5x = 12x. Simplified, this is 30 = 7x, which means she needs to sell 30/7, or approximately 5 pies, to cover her costs.

Step-by-step explanation:

The student is asking for an equation that can be used to determine the break-even point for Mrs. Ramirez's pie business. To calculate the break-even point, we need to consider the fixed costs, the variable costs per pie, and the selling price per pie. The fixed cost is $30 for baking supplies, the cost to make each pie is $5, and she plans to sell each pie for $12.

To find the number of pies (x) needed to break even, we set up the equation total costs = total revenue. The total cost is the sum of the fixed costs and the variable cost times the number of pies, and the total revenue is the selling price times the number of pies.

Thus, the equation is:
30 + 5x = 12x

To solve for x, we would subtract 5x from both sides to find:

30 = 7x

Dividing both sides by 7 gives us:

x = 30/7, which gives the exact number of pies needed to break even. Since she cannot sell a fraction of a pie, she will have to sell at least 5 pies to break even.

User Eunsun
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30× 12.00360 she makes $360.00
User Boolean
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