document.write( "Question 523786: The Eastside Nursery ordered 27 trees. Some of the trees were elms, costing $17 each. The remainder was maples at $11 each. The total cost of the trees was $375. Find the number of elms and the number of maples. \n" ); document.write( "
Algebra.Com's Answer #347421 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The Eastside Nursery ordered 27 trees. Some of the trees were elms, costing $17 each. The remainder was maples at $11 each. The total cost of the trees was $375. Find the number of elms and the number of maples. \n" ); document.write( "--------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "e + m = 27 \n" ); document.write( "17e+11m = 375 \n" ); document.write( "--- \n" ); document.write( "Multiply thru the 1st equation by 17: \n" ); document.write( "17e + 17m = 17*27 \n" ); document.write( "17e + 11m = 375 \n" ); document.write( "---- \n" ); document.write( "Subtract and solve for \"m\": \n" ); document.write( "6m = 84 \n" ); document.write( "m = 14 (# of maple trees purchased) \n" ); document.write( "---- \n" ); document.write( "Solve for \"e\": \n" ); document.write( "e + m = 27 \n" ); document.write( "e + 14 = 27 \n" ); document.write( "e = 13 (# of elm trees purchased) \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========== \n" ); document.write( " |