document.write( "Question 1063504: Maria has $5.05 in quarters and dimes. The number of quarters exceeds twice the number of dimes by 1. Find the number she has of each kind. \n" ); document.write( "
Algebra.Com's Answer #678608 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "let d = no. of dimes \n" ); document.write( "let q = no. of quarters \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( "\"Maria has $5.05 in quarters and dimes.\" \n" ); document.write( ".10d + .25q = 5.05 \n" ); document.write( "\" The number of quarters exceeds twice the number of dimes by 1.\" \n" ); document.write( "q = 2d + 1 \n" ); document.write( ": \n" ); document.write( "In the 1st equation replace q with (2d+1) \n" ); document.write( ".10d + .25(2d+1) = 5.05 \n" ); document.write( ".10d + .50d + .25 = 5.05 \n" ); document.write( ".60d = 5.05 - .25 \n" ); document.write( ".60d = 4.80 \n" ); document.write( "d = 4.80/.60 \n" ); document.write( "d = 8 dimes \n" ); document.write( "then \n" ); document.write( "q = 2(8) + 1 \n" ); document.write( "q = 17 quarters \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can confirm this, replace d and q in the 1st equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |