document.write( "Question 861722: Can someone help me solve this word problem \r
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document.write( "A cashier has a total of 89 bills, made up of tens and fifties. The total value of the money is $2850. How much of each kind does he have? \n" );
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Algebra.Com's Answer #519279 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let x be tens and y be fifties, then \n" ); document.write( "x + y = 89 \n" ); document.write( "10x + 50y = 2850 \n" ); document.write( "solve first equation for x \n" ); document.write( "x = 89 - y \n" ); document.write( "substitute for x in second equation \n" ); document.write( "10(89-y) + 50y = 2850 \n" ); document.write( "890-10y +50y = 2850 \n" ); document.write( "40y = 1960 \n" ); document.write( "y = 49 \n" ); document.write( "substitute for y in first equation \n" ); document.write( "x + 49 = 89 \n" ); document.write( "x = 40 \n" ); document.write( "there are 40 tens and 49 fifties \n" ); document.write( "substitute in second equation to check answer \n" ); document.write( "10(40) + 50(49) = 2850 \n" ); document.write( "400 + 2450 = 2850 \n" ); document.write( "2850 = 2850 \n" ); document.write( "our answer checks :-)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |