document.write( "Question 838999: Julie spends 720 minutes per week practicing the piano outside of class. Her ratio of time spent on practicing pieces to time spent on scales and theory is 5 to 3. How many HOURS per week does she spend on practicing pieces? How many HOURS per week does she spend on scales and theory?\r
\n" ); document.write( "\n" ); document.write( "I have used the problem of 5/3=x/y but it gives me another equation. \n" ); document.write( "

Algebra.Com's Answer #505468 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, convert $\"+720+\"$ minutes to hours
\n" ); document.write( "( minutes ) x ( hours/minute ) = hours
\n" ); document.write( " $\"+720%2A%28+1%2F60+%29+=+12+\"$ hrs
\n" ); document.write( "------------------------------
\n" ); document.write( "Let $\"+x+\"$ = her time in hours spent on pieces per week
\n" ); document.write( " $\"+12+-+x+\"$ = her time in hours spent on scales per week
\n" ); document.write( "----------------------------------------------------
\n" ); document.write( " $\"+5%2F3+=+x%2F%28+12+-+x+%29+\"$
\n" ); document.write( "Multiply both sides by $\"+3%2A%28+12+-+x+%29+\"$
\n" ); document.write( " $\"+5%2A%28+12+-+x+%29+=+3x+\"$
\n" ); document.write( " $\"+60+-+5x+=+3x+\"$
\n" ); document.write( " $\"+8x+=+60+\"$
\n" ); document.write( " $\"+x+=+7.5+\"$
\n" ); document.write( " $\"+12+-+7.5+=+4.5+\"$
\n" ); document.write( "She spends 7 1/2 hours per week on pieces
\n" ); document.write( "She spends 4 1/2 hours per week on scales
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+5%2F3+=+x%2F%28+12+-+x+%29+\"$
\n" ); document.write( " $\"+5%2F3+=+7.5%2F4.5+\"$
\n" ); document.write( " $\"+5%2A4.5+=+7.5%2A3+\"$
\n" ); document.write( " $\"+22.5+=+22.5+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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