document.write( "Question 939277: Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have? \n" ); document.write( "
Algebra.Com's Answer #572567 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Laura has $4.50 in dimes and quarters. \n" ); document.write( " She has 3 more dimes than quarters. \n" ); document.write( " How many quarters does she have? \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( " Laura has $4.50 in dimes and quarters. \n" ); document.write( ".10d + .25q = 4.50 \n" ); document.write( ": \n" ); document.write( "She has 3 more dimes than quarters. \n" ); document.write( "d = q + 3 \n" ); document.write( ": \n" ); document.write( "In the 1st equation, replace d with (q+3) \n" ); document.write( ".10(q+3) + .25q = 4.50 \n" ); document.write( ".10q + .3 + .25q = 4.50 \n" ); document.write( ".10q + .25q = 4.50 - .30 \n" ); document.write( ".35q = 4.20 \n" ); document.write( "q = 4.20/.35 \n" ); document.write( "q = 12 quarters \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "That answers the question but to check it, find the no. of dimes \n" ); document.write( "Use the 2nd equation \n" ); document.write( "d = 12 + 3 \n" ); document.write( "d = 15 dimes \n" ); document.write( "Check this in the 1st equation \n" ); document.write( ".10(15) + .25(12) = \n" ); document.write( "1.50 + 3.00 = 4.50\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |