document.write( "Question 430955: Sonya has a bag of coins with only nickels and quarters. if she has 105 coins worth a total of $17.25, how many of each type of coin does she have? \n" ); document.write( "

Algebra.Com's Answer #299212 by algebrahouse.com(1659) $\"\"$ $\"About$

You can put this solution on YOUR website!
\"Sonya has a bag of coins with only nickels and quarters. if she has 105 coins worth a total of $17.25, how many of each type of coin does she have?\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = number of nickels
\n" ); document.write( "105 - x = number of quarters {total coins minus number of nickels}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5(x) + 25(105 - x) = 1725 {number of coins times value of coins equals total value}
\n" ); document.write( "5x + 2625 - 25x = 1725 {used distributive property}
\n" ); document.write( "-20x + 2625 = 1725 {combined like terms}
\n" ); document.write( "-20x = -900 {subtracted 2625 from both sides}
\n" ); document.write( "x = 45 {divided both sides by -20}
\n" ); document.write( "105 - x = 60 {substituted 45, in for x, into 105 - x}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "45 nickels and 60 quarters
\n" ); document.write( "www.algebrahouse.com \n" ); document.write( "

\n" );