document.write( "Question 573500: The bowling alley on wedge street charges $5.50 for shoe rental plus $2.50 per game. The bowling alley on Lawrence street charges $4 for shoe rental plus $3.00 per game. If one person rents a pair of shoes to bowl, how many games should they bowl to make the bowling alley on wedged street cheaper than the bowling alley on Lawrence street. \n" ); document.write( "

Algebra.Com's Answer #368788 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = number of games bowled
\n" ); document.write( "Let $\"+p+\"$ = price of bowling
\n" ); document.write( "Wedge St:
\n" ); document.write( " $\"+p+=+5.5+%2B+2.5x+\"$
\n" ); document.write( "Lawrence St:
\n" ); document.write( " $\"+p+=+4+%2B+3x+\"$
\n" ); document.write( "--------------
\n" ); document.write( "If prices at both alleys are equal:
\n" ); document.write( " $\"+5.5+%2B+2.5x+=+4+%2B+3x+\"$
\n" ); document.write( " $\"+.5x+=+1.5+\"$
\n" ); document.write( " $\"+x+=+3+\"$
\n" ); document.write( "4 games bowled will make Wedge St cheaper
\n" ); document.write( "check:
\n" ); document.write( "3 games bowled:
\n" ); document.write( " $\"+p+=+5.5+%2B+2.5%2A3+\"$
\n" ); document.write( " $\"+p+=+5.5+%2B+7.5+\"$
\n" ); document.write( " $\"+p+=+13+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+p+=+4+%2B+3%2A3+\"$
\n" ); document.write( " $\"+p+=+13+\"$
\n" ); document.write( "4 games bowled:
\n" ); document.write( " $\"+p+=+5.5+%2B+2.5%2A4+\"$
\n" ); document.write( " $\"+p+=+5.5+%2B+10+\"$
\n" ); document.write( " $\"+p+=+15.5+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+p+=+4+%2B+3%2A4+\"$
\n" ); document.write( " $\"+p+=+16+\"$
\n" ); document.write( "Wedge St is cheaper
\n" ); document.write( "OK \n" ); document.write( "

\n" );