document.write( "Question 122385: a farmer plants two kinds of crops on his 3000 acres of land. the income from crop A is $190 per acre. the income from crop B is $300 per acre. the farmers gaol is to earn a sales of $713,000. Solve the system of equations. \n" ); document.write( "
Algebra.Com's Answer #89875 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! a farmer plants two kinds of crops on his 3000 acres of land. the income from crop A is $190 per acre. the income from crop B is $300 per acre. the farmers gaol is to earn a sales of $713,000. Solve the system of equations. \n" ); document.write( ": \n" ); document.write( "Let a = no. of acres of Crop A \n" ); document.write( "Let b = no. of acres of Crop B \n" ); document.write( ": \n" ); document.write( "a + b = 3000 \n" ); document.write( "a = (3000-b) we can use this for substitution \n" ); document.write( ": \n" ); document.write( "190a + 300b = 713000 \n" ); document.write( ": \n" ); document.write( "Substitute (3000-b) for a in the above equation: \n" ); document.write( "190(3000-b) + 300b = 713000 \n" ); document.write( ": \n" ); document.write( "570000 - 190b + 300b = 713000 \n" ); document.write( ": \n" ); document.write( "110b = 713000 - 570000 \n" ); document.write( ": \n" ); document.write( "110b = 143000 \n" ); document.write( "b = \n" ); document.write( "b = 1300 acres of B crop \n" ); document.write( ": \n" ); document.write( "Find a \n" ); document.write( "3000 - 1300 = 1700 acres of A crop \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the $equation \n" ); document.write( "190(1700) + 300(1300) = \n" ); document.write( "323000 + 390000 = 713,000; confirms our solution \n" ); document.write( " \n" ); document.write( " |