document.write( "Question 1039335: anuj has $ 100 in denomination of $5 and $2 coins. if the number of $ 2 coin anuj has five-eights of the number of $5 coin. how many coins of each types does he have \n" ); document.write( "

Algebra.Com's Answer #654114 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
anuj has $ 100 in denomination of $5 and $2 coins. if the number of $ 2 coin anuj has five-eights of the number of $5 coin. how many coins of each types does he have
\n" ); document.write( ":
\n" ); document.write( "let f = no. of #5 coins
\n" ); document.write( "let t = no. of $2 coins
\n" ); document.write( ":
\n" ); document.write( "Given that
\n" ); document.write( "t = $\"5%2F8\"$ f
\n" ); document.write( ":
\n" ); document.write( "5f + 2t = 100
\n" ); document.write( "replace t with $\"5%2F8\"$ f
\n" ); document.write( "5f + 2( $\"5%2F8\"$ f) = 100
\n" ); document.write( "5f + $\"10%2F8\"$ f = 100
\n" ); document.write( "multiply the equation by 8, cancel the denominator
\n" ); document.write( "8(5f) + 10f = 8(100)
\n" ); document.write( "40f + 10f = 800
\n" ); document.write( "50f = 800
\n" ); document.write( "f = 800/50
\n" ); document.write( "f = 16 ea $5 coins
\n" ); document.write( "then
\n" ); document.write( "t = $\"5%2F8\"$ (16)
\n" ); document.write( "t = 10 ea $2 coins
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, find the total $
\n" ); document.write( "16(5) = 80
\n" ); document.write( "10(2) = 20
\n" ); document.write( " \n" ); document.write( "

\n" );