document.write( "Question 1202534: Marcel has a jar filled with one and five dollar bills. The jar contains 34 bills and totals $110. How many bills of each type does he have?\r
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document.write( "Number of one dollar bills\r
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document.write( "Number of five dollar bills \n" );
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Algebra.Com's Answer #837427 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = number of 1 dollar bills. \n" ); document.write( "y = number of 5 dollar bills. \n" ); document.write( "jar contains 34 bills \n" ); document.write( "x + y = 34 \n" ); document.write( "total money in the jar is 110 dollars. \n" ); document.write( "x + 5y = 110 \n" ); document.write( "solve for y in the first equqtion to get: \n" ); document.write( "y = 34 - x \n" ); document.write( "replace y in the second equation with tha to get: \n" ); document.write( "x + 5 * (34 - x) = 110 \n" ); document.write( "simplify to get: \n" ); document.write( "x + 170 - 5x = 110 \n" ); document.write( "combine like terms to get: \n" ); document.write( "-4x + 170 = 110 \n" ); document.write( "add 4x to both sides of the equation and subtract 110 from both sides of the equation to get: \n" ); document.write( "60 = 4x \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 15 \n" ); document.write( "since x + y = 34, then y must be equal to 19. \n" ); document.write( "x + y becomes 15 + 19 which is equal to 34. \n" ); document.write( "x + 5y becomes 15 + 95 which is equal to 110. \n" ); document.write( "values look good. \n" ); document.write( "solution is he has 15 one dollar bills and 19 five dollars bills. \n" ); document.write( " \n" ); document.write( " |