document.write( "Question 365453: The owner of a men's clothing store bought 6 belts and 8 hats for $140. A week later at the same price , he bought 9 belts and 6 hats for $132. Find the price of the belt and the price of the har \n" ); document.write( "
Algebra.Com's Answer #260535 by amoresroy(361)\"\" \"About 
You can put this solution on YOUR website!
Let b = the price of the belt
\n" ); document.write( " h = the price of the hat\r
\n" ); document.write( "\n" ); document.write( "Equation 1
\n" ); document.write( "6b + 8h = 140\r
\n" ); document.write( "\n" ); document.write( "Equation 2
\n" ); document.write( "9b + 6h = 132\r
\n" ); document.write( "\n" ); document.write( "Multiply equation 1 by 1.5
\n" ); document.write( "1.5(6b + 8h = 140)
\n" ); document.write( "9b +12h = 210\r
\n" ); document.write( "\n" ); document.write( "Subtract by equation 2
\n" ); document.write( "9b-9b +12h-6h = 210-132
\n" ); document.write( " 6h = 78
\n" ); document.write( " h = 13
\n" ); document.write( "Substitute h = 13 in equation 1
\n" ); document.write( "6b + 8*13 = 140
\n" ); document.write( " 6b = 140 - 104
\n" ); document.write( " 6b = 36
\n" ); document.write( " b = 6\r
\n" ); document.write( "\n" ); document.write( "The price of the hat is $13.00 each
\n" ); document.write( "The price of the belt is $6.00 each
\n" ); document.write( " \n" ); document.write( "
\n" );