document.write( "Question 1178653: An athletic director buys footballs, soccer balls, and softballs for their team.
\n" ); document.write( " - Each football is 4 times as much as each softball
\n" ); document.write( " - Each soccer ball is 10 dollars more than each football
\n" ); document.write( " - 10 footballs, 10 soccer balls, and 20 softballs total to a cost of 700 dollars.\r
\n" ); document.write( "\n" ); document.write( "**How much does each soccer ball cost?**\r
\n" ); document.write( "\n" ); document.write( "I came up with the equation 10x+10y+20z=700
\n" ); document.write( "x > football
\n" ); document.write( "y > soccer ball
\n" ); document.write( "z > softball \n" ); document.write( "

Algebra.Com's Answer #808033 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "An athletic director buys footballs, soccer balls, and softballs for their team.
\n" ); document.write( " - Each football is 4 times as much as each softball
\n" ); document.write( " - Each soccer ball is 10 dollars more than each football
\n" ); document.write( " - 10 footballs, 10 soccer balls, and 20 softballs total to a cost of 700 dollars.\r
\n" ); document.write( "\n" ); document.write( "**How much does each soccer ball cost?**\r
\n" ); document.write( "\n" ); document.write( "I came up with the equation 10x+10y+20z=700
\n" ); document.write( "x > football
\n" ); document.write( "y > soccer ball
\n" ); document.write( "z > softball
\n" ); document.write( "

All you did was come up with an equation for the total cost of 10 footballs, 10 soccer balls, and 20 softballs,\r\n" );
document.write( "after naming the number of footballs, soccer balls, and softballs, x, y, and z, respectively. \r\n" );
document.write( "It can't get any easier than the following:\r\n" );
document.write( "\r\n" );
document.write( "Let cost of each softball, be S\r\n" );
document.write( "Then cost of each football = 4S, and cost of each soccer ball = 4S + 10\r\n" );
document.write( "We then get: 10(4S) + 10(4S + 10) + 20S = 700\r\n" );
document.write( "40S + 40S + 100 + 20S = 700\r\n" );
document.write( "100S = 600\r\n" );
document.write( "Cost of 1 softball, or \r\n" );
document.write( "Cost of 1 soccer ball: \r\n" );
document.write( "\r\n" );
document.write( "OR\r\n" );
document.write( "\r\n" );
document.write( "This METHOD will get you STRAIGHT to the cost of  a soccer ball.\r\n" );
document.write( "\r\n" );
document.write( "Let cost of each soccer ball, be S\r\n" );
document.write( "Then cost of each football = S - 10, and cost of a softball = \r\n" );
document.write( "We then get: \r\n" );
document.write( "Cost of 1 soccer ball, or

\n" ); document.write( "

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