document.write( "Question 1010157: 3 apples and a pineapple equally balances 10 oranges.also,6 oranges and an apple equally balance a pineapple.how many oranges balance a pineapple? \n" ); document.write( "
Algebra.Com's Answer #625639 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "The other tutor's answer is wrong.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let the number of ounces an Apple weighs be A\r\n" );
document.write( "Let the number of ounces a Pineapple weighs be P\r\n" );
document.write( "Let the number of ounces an Orange weighs be Q \r\n" );
document.write( "\r\n" );
document.write( "[Can't use O for the number of ounces an Orange\r\n" );
document.write( "weighs because O looks too much like zero 0, and Q \r\n" );
document.write( "looks the most like O without looking too much like \r\n" );
document.write( "zero. :)  ]   \r\n" );
document.write( "

\n" ); document.write( ">>3 apples and a pineapple equally balances 10 oranges.<<
\n" ); document.write( "
\r\n" );
document.write( "3A + P = 10Q\r\n" );
document.write( "

\n" ); document.write( ">>also,6 oranges and an apple equally balance a pineapple.<<
\n" ); document.write( "
\r\n" );
document.write( "6Q + A = P\r\n" );
document.write( "

\n" ); document.write( ">>how many oranges balance a pineapple?<<
\n" ); document.write( "
\r\n" );
document.write( "Let the answer be N\r\n" );
document.write( "\r\n" );
document.write( "Then NQ = P\r\n" );
document.write( "\r\n" );
document.write( "So we have the system  \r\n" );
document.write( "\r\n" );
document.write( "1)   3A + P = 10Q   \r\n" );
document.write( "2)   6Q + A = P\r\n" );
document.write( "3)   NQ = P\r\n" );
document.write( "\r\n" );
document.write( "Solve 2) for A\r\n" );
document.write( "\r\n" );
document.write( "4)   A = P - 6Q\r\n" );
document.write( "\r\n" );
document.write( "Substitute in 1)\r\n" );
document.write( "\r\n" );
document.write( "5)   3(P - 6Q) + P = 10Q\r\n" );
document.write( "      3P - 18Q + P = 10Q\r\n" );
document.write( "          4P - 18Q = 10Q\r\n" );
document.write( "                4P = 28Q\r\n" );
document.write( "6)               P = 7Q\r\n" );
document.write( "Substitute 6) into 3)\r\n" );
document.write( "\r\n" );
document.write( "     NQ = 7Q\r\n" );
document.write( "      N = 7\r\n" );
document.write( "\r\n" );
document.write( "Answer: It takes 7 oranges.\r\n" );
document.write( "\r\n" );
document.write( "There's not enough information given to find out how\r\n" );
document.write( "many ounces any of the fruit weighs, but regardless\r\n" );
document.write( "it would always take 7 oranges to balance a pineapple.\r\n" );
document.write( "All we can tell is that substituting 6) into 4) we get\r\n" );
document.write( "that oranges and apples weigh the same and a pineapple \r\n" );
document.write( "weighs 7 times as much as they weigh each. \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );