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 #754863 by Theo(13342)![]() ![]() You can put this solution on YOUR website! it sounds like each person could order either a hot dog or a bucket of chips but not both.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "therefore the total of hot dogs plus chips must equal to 20.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let h = the number of hot dogs and b = the number of buckets of chips, and you get h + b = 20.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the number of hotdogs ordered was 4 times the number buckets of chips orders, you get h = 4b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "those are your two equations that need to be solved simultaneously.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h + b = 20 \n" ); document.write( "h = 4b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the first equation, replace h with 4b and you get 4b + b = 20.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 5b = 20.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for b to get b = 20/5 = 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of buckets of chips ordered was 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since h = 4b, then the number of hot dobs ordered was 16.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h + b = 16 + 4 = 20.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = 4b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the solution is cofirmed to be good based on the problem statements.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the solution is that 16 hot dogs and 4 buckets of chips were ordered.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |