document.write( "Question 1182223: A group of boys desiring to group a team to buy a ball. If there had been 3 boys fewer, each would have paid one dollar more; and if there had been 4 boys more, each would have paid 75 cents less. Find the cost of the ball.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "->Please help me how to solve this problem step by step.. Thanks in advance!! \n" );
document.write( "
Algebra.Com's Answer #812202 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let each boy pay x \n" ); document.write( "and number of boys be y\r \n" ); document.write( "\n" ); document.write( "there had been 3 boys fewer, each would have paid one dollar more\r \n" ); document.write( "\n" ); document.write( "(y-3)(x+1) = xy \n" ); document.write( "xy+y-3x -3 =xy\r \n" ); document.write( "\n" ); document.write( "y-3x=3 \n" ); document.write( "y=3x+3----------------(1)\r \n" ); document.write( "\n" ); document.write( "(y+4)(x-3/4) = xy\r \n" ); document.write( "\n" ); document.write( "xy -(3/4)y +4x -3 =xy\r \n" ); document.write( "\n" ); document.write( "-3/4 y +4x = 3 \n" ); document.write( "multiply by 4\r \n" ); document.write( "\n" ); document.write( "-3y +16x =12--------------(2) \n" ); document.write( "substitute y in (2) \n" ); document.write( "-3(3x+3)+16x =12\r \n" ); document.write( "\n" ); document.write( "-9x-9 +16x =12 \n" ); document.write( "7x =21 \n" ); document.write( "x= 3\r \n" ); document.write( "\n" ); document.write( "y=3x+3 \n" ); document.write( "y= 3*3 +3\r \n" ); document.write( "\n" ); document.write( "y=12\r \n" ); document.write( "\n" ); document.write( "Cost of Ball = 4*12 =48\r \n" ); document.write( "\n" ); document.write( "$48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |