document.write( "Question 82914: Bob and Joe have 480 marbles between them. Bob arranges them in columns with 6 in each column, and Joe arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation.\r
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Bob and Joe have 480 marbles between them. Bob arranges them in columns with 6 in each column, and Joe arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation.
\n" ); document.write( "Say you have 12 marbles in a 6 column .... 12 / 6 = 2 columns
\n" ); document.write( "18 marbles in a 6 column ... 18 / 6 = 3 columns
\n" ); document.write( "So: x / 6 where x is the amount of marbles Bob has
\n" ); document.write( "This leads us to: y / 9 where y is the amount of marbles Joe has
\n" ); document.write( "Joe would have x less marbles from 480 than Bob would ... y = 480 - x
\n" ); document.write( "So: (480 - x) / 9
\n" ); document.write( "The sum of the columns = 72
\n" ); document.write( "x / 6 + (480 - x) / 9 = 72
\n" ); document.write( "x + 6(480 - x) / 9 = 432
\n" ); document.write( "x + 2(480 - x) / 3 = 432
\n" ); document.write( "3x + 2(480 - x) = 1296
\n" ); document.write( "3x + 960 - 2x = 1296
\n" ); document.write( "x = 336
\n" ); document.write( "Plug in the numbers from there. \n" ); document.write( "
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