Belle bought 30 pencils for $1560. She made a profit of $180. How much profit did she make on each p | MathCelebrity Forum

Belle bought 30 pencils for $1560. She made a profit of $180. How much profit did she make on each p

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Belle bought 30 pencils for $1560. She made a profit of $180. How much profit did she make on each pencil

The cost per pencil is:
1560/30 = 52

Build revenue function:
Revenue = Number of Pencils * Sales Price (s)
Revenue = 30s

The profit equation is:
Profit = Revenue - Cost

Given profit is 180 and cost is 1560, we have:
30s - 1560 = 180

To solve for s, we type this equation into our search engine and we get:
s = 58

This is sales for total profit. The question asks profit per pencil.
Profit per pencil = Revenue per pencil - Cost per pencil
Profit per pencil = 58 - 52
Profit per pencil = 6
 
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