document.write( "Question 136375: Rocky McFrost spends 90 a week on karate and ballet lessons. If the karate lessons go up $10 a week, it will be two thirds the amount spent on ballet lessons. How much are the ballet lessons? \n" ); document.write( "

Algebra.Com's Answer #99900 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=amount spent on karate lessons per wk
\n" ); document.write( "Then 90-x=amount spent on ballet lessons per wk\r
\n" ); document.write( "\n" ); document.write( "Now this is what we are told:\r
\n" ); document.write( "\n" ); document.write( "x+10=(2/3)(90-x) multiply each side by 3\r
\n" ); document.write( "\n" ); document.write( "3x+30=180-2x subtract 30 from and add 2x to both sides\r
\n" ); document.write( "\n" ); document.write( "3x+2x+30-30=180-30-2x+2x collect like terms\r
\n" ); document.write( "\n" ); document.write( "5x=150 divide each by 5
\n" ); document.write( "x=$30-----------------------------amount spent on karate lessons per wk
\n" ); document.write( "90-x=90-30=$60----------------------amount spent on ballet lessons per wk\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "30+10=(2/3)(60)
\n" ); document.write( "40=40\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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