document.write( "Question 767491: andy has 17 coins made up of quarters and half dollars, and their total value is $7.25. how many quarters does he have \n" ); document.write( "
Algebra.Com's Answer #467668 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of quarters \n" ); document.write( "17 - x = number of half dollars {there are 17 total coins}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.25x + 0.5(17 - x) = 7.25 {value of coin times number of coins equals total value} \n" ); document.write( "0.25x + 8.5 - 0.5x = 7.25 {used distributive property} \n" ); document.write( "-0.25x + 8.5 = 7.25 {combined like terms} \n" ); document.write( "-0.25x = -1.25 {subtracted 8.5 from each side} \n" ); document.write( "x = 5 quarters {divided each side by -0.25} \n" ); document.write( "17 - x = 12 half dollars {substituted 5, in for x, into 17 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 quarters \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |