document.write( "Question 1137031: at a birthday party for 20 people each person could order a hot dog or a bucket of chips. if there were four times as many hot dogs as buckets of chips calculate how many hot dogs and how many buckets of chips were bought\r
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document.write( "need to write this and solve via simultaneous equations
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Algebra.Com's Answer #754864 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let H be the number of hot dogs and C be the number of chips.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then from the condition we have this system of 2 equations\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "H + C = 20 (1) (same as the number of people)\r\n" ); document.write( "\r\n" ); document.write( "H = 4C (2) (four times as many hot dogs as buckets of chips)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From equation (2), substitute the expression H = 4C into equation (1)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "4C + C = 20,\r\n" ); document.write( "\r\n" ); document.write( "5C = 20,\r\n" ); document.write( "\r\n" ); document.write( "C = 20/5 = 4.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 4 buckets of chips and 4*4 = 16 hot dogs.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |