document.write( "Question 837468: This is a system of two equations word problem. please set up the equations: At the Boy Scouts \"all you can eat\" spaghetti dinner, the troop served 210 people and raised $935. Adult meals cost $6.00 and children meals cost $3.50. How many adult and child dinners were served?\r
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document.write( "I am having difficulty setting up the equations but no problem solving them. \n" );
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Algebra.Com's Answer #504599 by mxgirl22(39)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let number of adults = a \n" ); document.write( " Let number of children = c \n" ); document.write( "------------------------------------------- \n" ); document.write( " Total number of people: a + c = 210 \n" ); document.write( " Total amount raised: 6a + 3.5c = $935.00 \n" ); document.write( "------------------------------------------- \n" ); document.write( "1st.) From the information about the total number of people we can say:\r \n" ); document.write( "\n" ); document.write( "a+c=210 \n" ); document.write( "a+c-c=210-c \n" ); document.write( "a=210-c \n" ); document.write( "------------------------------------------- \n" ); document.write( "2.) Plug our \"a\" value we found in step 1) in the equation for the \"total amount raised\" to find how many adults and children were there.\r \n" ); document.write( "\n" ); document.write( "Note: Total amount raised: 6a + 3.5c = $935.00\r \n" ); document.write( "\n" ); document.write( "6(210-c) + 3.5c = $935.00 \n" ); document.write( "-------------------------------------------\r \n" ); document.write( "\n" ); document.write( "You said you just needed the set up so I'll let you finish it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |