document.write( "Question 1189811: A woman has 25 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.75, how many dimes and how many quarters does she have?
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Algebra.Com's Answer #821304 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A woman has 25 coins in her pocket, all of which are dimes and quarters. \n" ); document.write( " If the total value of the coins is $ 4.75, \n" ); document.write( " how many dimes and how many quarters does she have? \n" ); document.write( ": \n" ); document.write( "d = no. of dimes \n" ); document.write( "q = no. of quarters \n" ); document.write( ": \n" ); document.write( "\"A woman has 25 coins in her pocket, all of which are dimes and quarters.\" \n" ); document.write( "d + q = 25 \n" ); document.write( "\"If the total value of the coins is $ 4.75,\" \n" ); document.write( ".10d + .25q = 4.75 \n" ); document.write( ": \n" ); document.write( "how many dimes and how many quarters does she have? \n" ); document.write( " multiply above equation by 10, subtract the first equation \n" ); document.write( "d + 2.5q = 47.5 \n" ); document.write( "d + q = 25 \n" ); document.write( "-----------------subtraction eliminates d, find q \n" ); document.write( "0 + 1.5q = 22.5 \n" ); document.write( "q = 22.5/1.5 \n" ); document.write( "q = 15 quarters \n" ); document.write( "then \n" ); document.write( "25 - 15 = 10 dimes \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check \n" ); document.write( "15 * .25 = 3.75 \n" ); document.write( "10 * .10 = 1.00 \n" ); document.write( "---------------- \n" ); document.write( "totals to 4.75 \n" ); document.write( " \n" ); document.write( " |