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)![]() ![]() ![]() You can put this solution on YOUR website! 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! \n" ); document.write( " \n" ); document.write( " |