document.write( "Question 764479: A couple does not wish to spend more than $50 for dinner at a restaurant. If a sales tax of 7% is added to the bill and they plan to tip 20% after the tax has been added, what is the most they can spend for the meal? (Round your answer to the nearest cent.) \n" ); document.write( "
Algebra.Com's Answer #465480 by josmiceli(19441)\"\" \"About 
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Let \"+x+\" = the bill for the meal
\n" ); document.write( "before the sales tax is added
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\n" ); document.write( "\"+x+%2B+.07x+=+1.07x+\" = amount of bill
\n" ); document.write( "after the sales tax is added
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\n" ); document.write( "\"+1.07x+%2B+.2%2A%28+1.07x+%29+\" = amount
\n" ); document.write( "they paid after including the tip
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\n" ); document.write( "Since $50 is the most they can spend,
\n" ); document.write( "\"+50+=+1.07x+%2B+.2%2A%28+1.07x+%29+\"
\n" ); document.write( "\"+50+=+1.07x%2A%28+1+%2B+.2+%29+\"
\n" ); document.write( "\"+50+=+1.07%2A1.2x+\"
\n" ); document.write( "\"+50+=+1.284x+\"
\n" ); document.write( "\"+x+=+38.94+\"
\n" ); document.write( "$38.94 is the most expensive meal they can order
\n" ); document.write( "check:
\n" ); document.write( "\"+1.07%2A38.94+=+41.67+\"
\n" ); document.write( "\"+41.67%2A1.2+=+50.004+\"
\n" ); document.write( "OK\r
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