SOLUTION: 7% sales tax included in receipts of 462.24. what was the sales tax collected?

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Question 202803: 7% sales tax included in receipts of 462.24. what was the sales tax collected?
Found 2 solutions by rfer, Earlsdon:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
462.24/1.07=432.00
462.24-432.00=$30.24 tax
When you divide by 107% it gives the price of the goods purchased.
Then subtract the two amounts for the tax paid.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the amount before taxes.
x%2B0.07x+=+462.24 Simplify the left side.
1.07x+=+462.24 Divide both sides by 1.07
x+=+432
The cost before the tax is $432.00
The sales tax is 7% of $432.00 = 0.07($432) = $30.24
Check:
x%2B0.07x+=+462.24 Substitute x = $432.00
432%2B0.07%28432%29+=+462.24
432%2B30.24+=+462.24
462.24+=+462.24 OK!