document.write( "Question 62086: Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have? \n" ); document.write( "
Algebra.Com's Answer #42896 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Make an equation from each sentence: d = no of dimes; q = number of quarters \n" ); document.write( ": \n" ); document.write( "\"Merlin has 20 coins in quarters and dimes.\" \n" ); document.write( "d + q = 20 \n" ); document.write( "we will use this for substitution in the $ equation: \n" ); document.write( "d = (20-q) \n" ); document.write( ": \n" ); document.write( "The total value of the coins is $3.95.\" \n" ); document.write( ".10d + .25 = 3.95 \n" ); document.write( "; \n" ); document.write( "Substitute (20-q) for d in the above equation and solve for q: \n" ); document.write( ".10(20-q) + .25q = 3.95 \n" ); document.write( "2 - .10q + .25q = 3.95 \n" ); document.write( ".15q = 3.95 - 2 \n" ); document.write( ".15q = 1.95 \n" ); document.write( "q = 1.95/.15 \n" ); document.write( "q = 13 quarters \n" ); document.write( ": \n" ); document.write( "I'll let you find out the number of dimes. Check the solutions in the $$equation\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |