document.write( "Question 35206: there are 3 times as many pears as oranges. If a group of children receives 5 organges each, there will be no oranges left over. If the same group of children receives 8 pears each, there will be 21 pears left over. How many children and organges are there?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #21381 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! there are 3 times as many pears as oranges. If a group of children receives 5 organges each, there will be no oranges left over. If the same group of children receives 8 pears each, there will be 21 pears left over. How many children and organges are there?\r \n" ); document.write( "\n" ); document.write( "Let the number of oranges be x. \n" ); document.write( "Then number of pears is 3x. \n" ); document.write( "Let the number of children in the group be \"y\". \n" ); document.write( "EQUATION: \n" ); document.write( " 5y=x \n" ); document.write( " 8y=3x-21\r \n" ); document.write( "\n" ); document.write( "Solve for x and y: \n" ); document.write( " 8y=3(5y)-21 \n" ); document.write( " 7y=21 \n" ); document.write( " y=3 (number of children is 3) \n" ); document.write( " x=5y=5(3)=15 (number of oranges) \n" ); document.write( "3x=15 (number of pears)\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |