document.write( "Question 169162:  The Smith family pays $60 for 4 adult meals and 1 kid's meal.
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document.write( "The Jones family pays $42 for 2 adult meals and 2 kid's meals.
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document.write( "How much was each adult meal and each kid's meal.\r
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document.write( "Here is what I have so far . . .\r
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document.write( "  4x + y = 60
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document.write( "+ 2x + 2y = 42
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document.write( "  6x + 3y = $102\r
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| Algebra.Com's Answer #124746 by ankor@dixie-net.com(22740)     You can put this solution on YOUR website! The Smith family pays $60 for 4 adult meals and 1 kid's meal. \n" ); document.write( "The Jones family pays $42 for 2 adult meals and 2 kid's meals. \n" ); document.write( "How much was each adult meal and each kid's meal. \n" ); document.write( "Here is what I have so far . . . \n" ); document.write( "4x + y = 60 \n" ); document.write( "2x + 2y = 42 \n" ); document.write( ": \n" ); document.write( "These are the right equations, but you want to multiply one or both equations, \n" ); document.write( " so that you can eliminate one of the variables. \n" ); document.write( ": \n" ); document.write( "In this case if we multiply the 1st equation by 2 and subtract we eliminate y \n" ); document.write( "8x + 2y = 120 \n" ); document.write( "2x + 2y = 42 \n" ); document.write( "--------------- subtraction eliminates y, find x \n" ); document.write( "6x + 0 = 78 \n" ); document.write( "x = \n" ); document.write( "x = $13 for adult meal \n" ); document.write( ": \n" ); document.write( "Use the 1s equation to find y, substitute 13 for x: \n" ); document.write( "4(13) + y = 60 \n" ); document.write( "52 + y = 60 \n" ); document.write( "y = 60 - 52 \n" ); document.write( "y = $8 for kids meal \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution in the 2nd equation \n" ); document.write( "2(13) + 2(8) = 42 \n" ); document.write( "26 + 16 = 42, confirms our solutions \n" ); document.write( " |