SOLUTION: A hotel manager found that his gross receipts for the day, including a 9% sales tax, were 3759.41. Find the amount of sales tax collected.

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Question 834019: A hotel manager found that his gross receipts for the day, including a 9% sales tax, were 3759.41. Find the amount of sales tax collected.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A hotel manager found that his gross receipts for the day, including a 9% sales tax, were 3759.41. Find the amount of sales tax collected.
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Let gross receipts be "x":
Equation:
1.09x = 3759.41
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x = 3449
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Tax collected: 3749.41-3449 = $300.41
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the receipts for the day, not including the tax
+a+%2B+.09a+=+3759.41+
+1.09a+=+3759.41+
+a+=+3759.41%2F1.09+
+a+=+3449+
+3759.41+-+3449+=+310.41+
The amount of sales tax collected was $310.41
check:
+310.41+=+.09%2A3449+
+310.41+=+310.41+
OK