document.write( "Question 638487: A football team win 7 games which is 35% of total games played. How many games were played in all? \n" ); document.write( "

Algebra.Com's Answer #402234 by josh_jordan(263) $\"\"$ $\"About$

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To solve, let's first change this word problem into an equation based on what we know. We know that 7 games is 35% of the total games played (and we need to know the total games played), therefore:\r
\n" ); document.write( "\n" ); document.write( "7 games is equal to (=) 35% of (x) y (the letter we will use to represent the total of games played. So,\r
\n" ); document.write( "\n" ); document.write( "7 = .35y\r
\n" ); document.write( "\n" ); document.write( "It's .35 because we have to change the % to a decimal before we can solve\r
\n" ); document.write( "\n" ); document.write( "Now, we need to get y by itself, but first, let's get rid of that decimal. We can do that by multiplying both sides of our equal sign by 100:\r
\n" ); document.write( "\n" ); document.write( "7 x 100 = .35y x 100 =\r
\n" ); document.write( "\n" ); document.write( "700 = 35y\r
\n" ); document.write( "\n" ); document.write( "We will divide both sides of our equal sign by 35, so that we can get y all by itself on the right side of the equal sign:\r
\n" ); document.write( "\n" ); document.write( " $\"700%2F35+=+35y%2F35\"$ =\r
\n" ); document.write( "\n" ); document.write( "y = 20\r
\n" ); document.write( "\n" ); document.write( "Therefore, our final answer is: 20 games were played in all \n" ); document.write( "

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