document.write( "Question 17842: The total cost for a dinner was $97.52. This included a 15% tip calculated on the cost of the dinner after a 6 % sales tax. Find the cost of dinner before the tip and tax. \n" ); document.write( "
Algebra.Com's Answer #8626 by whisper(27)\"\" \"About 
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Let's look at what we know:
\n" ); document.write( "dinner total cost $97.52
\n" ); document.write( "Dinner = Original cost + tip + sales tax
\n" ); document.write( "original cost + 15%tax +6% sales tax = total cost
\n" ); document.write( "Now let's make this into an equation
\n" ); document.write( "original cost = c
\n" ); document.write( "tip= .15(c+.06c)
\n" ); document.write( "sales tax = .06c
\n" ); document.write( "Dinner = 97.52
\n" ); document.write( "c+.06c+.15(c+.06c)=97.52
\n" ); document.write( "c+.06c+.15(1.06c)=97.52
\n" ); document.write( "1.06c+.159c=97.52
\n" ); document.write( "1.219c=97.52
\n" ); document.write( "Divide both sides by 1.219
\n" ); document.write( "1.219c/1.219=97.52/1.219
\n" ); document.write( "1c=80
\n" ); document.write( "c=80
\n" ); document.write( "The original cost of the dinner before tip and tax is $80.00
\n" ); document.write( "Please don't hesitate to ask if you have further questions!
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