document.write( "Question 1054150: During the 2014 season, a football team scored a total of 168 points. They had a total of 48 scoring plays (touchdowns, field goals, extra points). They had twice as many touchdowns as field goals. A touchdown is worth 6 points, a field goal is worth 3 points, and an extra point is worth 1 point. Write a system of equations and solv it to find how many of each scoring play the team had. \n" ); document.write( "

Algebra.Com's Answer #669402 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"T%2BF%2BX=48\"$
\n" ); document.write( "2. $\"T=2F\"$
\n" ); document.write( "3. $\"6T%2B3F%2BX=168\"$
\n" ); document.write( "Substituting into eq. 1 and 3,
\n" ); document.write( " $\"2F%2BF%2BX=48\"$
\n" ); document.write( "4. $\"3F%2BX=48\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"6%282F%29%2B3F%2BX=168\"$
\n" ); document.write( " $\"12F%2B3F%2BX=168\"$
\n" ); document.write( "5. $\"15F%2BX=168\"$
\n" ); document.write( "Subtracting eq. 4 from eq. 5,
\n" ); document.write( " $\"15F%2BX-3F-X=168-48\"$
\n" ); document.write( " $\"12F=120\"$
\n" ); document.write( " $\"F=10\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"T=2%2810%29\"$
\n" ); document.write( " $\"T=20\"$
\n" ); document.write( "and
\n" ); document.write( " $\"3%2810%29%2BX=48\"$
\n" ); document.write( " $\"30%2BX=48\"$
\n" ); document.write( " $\"X=18\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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