document.write( "Question 736003: Hey my name is savannah and I do not even know how to begin this problem: Paul E. Bank has $2.25 in quarters and dimes. He has 15 coins. Find the number of quarters and dimes he has. \n" ); document.write( "
Algebra.Com's Answer #449623 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Paul E. Bank has $2.25 in quarters and dimes. He has 15 coins. \n" ); document.write( " Find the number of quarters and dimes he has. \n" ); document.write( ": \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( "\" \n" ); document.write( "\" Paul E. Bank has $2.25 in quarters and dimes.\" \n" ); document.write( ".10d + .25q = 2.25 \n" ); document.write( ": \n" ); document.write( "\" He has 15 coins.\" \n" ); document.write( "d + q = 15 \n" ); document.write( "We can use substitution here, change the equation to: \n" ); document.write( "d = (15-q) \n" ); document.write( ": \n" ); document.write( "Replace d with (15-q) in the second equation \n" ); document.write( ".10(15-q) + .25q = 2.25 \n" ); document.write( "1.5 - .10q + .25q = 2.25 \n" ); document.write( "-.10q + .25q = 2.25 - 1.5 \n" ); document.write( ".15q = .75 \n" ); document.write( "q = .75/.15 \n" ); document.write( "q = 5 quarters \n" ); document.write( "I'll let you find the number of dimes, check solutions in the 1st equation \n" ); document.write( " |