document.write( "Question 1301: A man bought at one time 3 bushels of wheat and 5 bushels of rye for 38 shillings; and at another time 6 bushels of wheat and 3 bushels of rye for 48 shillings. What was the price of each bushel? \n" ); document.write( "

Algebra.Com's Answer #478 by DeepaEvangeline(15) $\"\"$ $\"About$

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Let x be the price of wheat bushel
\n" ); document.write( "Let y be the price of rye bushel\r
\n" ); document.write( "\n" ); document.write( "Therefore 3x + 5y = 38 -----(1)\r
\n" ); document.write( "\n" ); document.write( "6x + 3y = 48 ------(2)\r
\n" ); document.write( "\n" ); document.write( "Solving eqn (1) & (2)\r
\n" ); document.write( "\n" ); document.write( "Eliminate x by multiplying eqn (1) by 2\r
\n" ); document.write( "\n" ); document.write( "Eqn (1) becomes, 6x + 10y = 76 -----(3)\r
\n" ); document.write( "\n" ); document.write( "Eqn (3) - (1) gives\r
\n" ); document.write( "\n" ); document.write( "7y = 28
\n" ); document.write( "y = 28/7 = 4\r
\n" ); document.write( "\n" ); document.write( "Substitute y = 4 in eqn (1)
\n" ); document.write( "3x + 5*4 = 38
\n" ); document.write( "3x + 20 = 38
\n" ); document.write( "3x = 18
\n" ); document.write( "x = 18/3 = 6\r
\n" ); document.write( "\n" ); document.write( "Price of wheat bushel is 6
\n" ); document.write( "Price of rye bushel is 4 \n" ); document.write( "

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