SOLUTION: the student council is hosting an art exhibit for young artists. each artist must pay $33 for a display booth. Plus they must donate 5% of their total sales to the school. it costs

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Question 1131942: the student council is hosting an art exhibit for young artists. each artist must pay $33 for a display booth. Plus they must donate 5% of their total sales to the school. it costs the artists $6 in materials to make a painting that each sell for $15. write and solve an equation to find how many paintings the artists must sell in order to break even
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
At break even, Cost = Income
Let +n+ = number of paintings sold
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+C+=+33+%2B+.05%2A15%2An+%2B+6n+
+I+=+15n+
+33+%2B+.75n+%2B+6n+=+15n+
+33+%2B+6.75n+=+15n+
+8.25n+=+33+
+n+=+4+
An artist must sell 4 paintings to break even.
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check:
+15n+=+15%2A4+
+15n+=+60+
and
+33+%2B+.05%2A15%2An+%2B+6n+
+33+%2B+.75n+%2B+6n+
+33+%2B+6.75%2A4+
+33+%2B+27+=+60+
OK