You are creating statues made of cement. The mold costs $300. The material for each statue costs $22. Estimate how many statues must be made for the average cost per statue to fall below $30

Question

22-02-2024
Mathematics

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You are creating statues made of cement. The mold costs $300. The material for each statue costs $22. Estimate how many statues must be made for the average cost per statue to fall below $30

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Urmom694201001 Urmom694201001 · Answer 1 · 2024-02-22T23:05:02+01:00

To estimate how many statues must be made for the average cost per statue to fall below $30, we need to consider the total cost of making the statues.

Let's break it down:
- The cost of the mold is $300.
- The cost of materials for each statue is $22.

To find the number of statues needed, we can set up an equation:

Total Cost = (Number of Statues * Cost per Statue) + Mold Cost

We want the average cost per statue to fall below $30, so we can set up the equation:

$30 > (Total Cost / Number of Statues)

Now, let's substitute the values we have:

$30 > ((Number of Statues * $22 + $300) / Number of Statues)

Simplifying the equation:

$30 > ($22 + $300 / Number of Statues)

To find the number of statues needed, we can rearrange the equation:

Number of Statues > ($322 / ($30 - $22))

Number of Statues > ($322 / $8)

Number of Statues > 40.25

Therefore, to have the average cost per statue fall below $30, you would need to make at least 41 statues.