document.write( "Question 206860: A farmer has 252 kg of apples. The apples are put into 2 kg and 5 kg bags. If the farmer uses twice the number of 5 kg bags as 2 kg bags, how many bags are used altogether?\r
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document.write( "(A) 21 (B) 42 (C) 56 (D) 63 (E) 70 \n" );
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Algebra.Com's Answer #156471 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A farmer has 252 kg of apples. The apples are put into 2 kg and 5 kg bags. If the farmer uses twice the number of 5 kg bags as 2 kg bags, how many bags are used altogether? \n" ); document.write( ": \n" ); document.write( "Let x = no. of 5 kg bags \n" ); document.write( "Let y = no. of 2 kg bags \n" ); document.write( "; \n" ); document.write( "\"A farmer has 252 kg of apples. \" \n" ); document.write( "5x + 2y = 252 \n" ); document.write( ": \n" ); document.write( "\" twice the number of 5 kg bags as 2 kg bags,\" \n" ); document.write( "x = 2y \n" ); document.write( ": \n" ); document.write( " how many bags are used altogether? \n" ); document.write( ": \n" ); document.write( "Replace x with 2y in the 1st equation: \n" ); document.write( "5(2y) + 2y = 252 \n" ); document.write( ": \n" ); document.write( "A total of: 21 + 42 = 63 \n" ); document.write( "10y + 2y = 252 \n" ); document.write( "12y = 252 \n" ); document.write( "y = \n" ); document.write( "y = 21 ea 2 kg bag \n" ); document.write( "then \n" ); document.write( "2(21) = 42 ea 5 kg bags \n" ); document.write( "; \n" ); document.write( "Total: 42 + 21 = 63 bags \n" ); document.write( "; \n" ); document.write( "Check solution: \n" ); document.write( "5(42) + 2(21) = \n" ); document.write( "210 + 42 = 252 \n" ); document.write( " |