document.write( "Question 359976: Michael's bank contains only nichels,dimes, and quarters. There are 43 coins in all valued at $3.70. The number of nickels is 9 short of being three times the sum of the number of dimes and quarters together.How many dimes are in the bank? \n" ); document.write( "
Algebra.Com's Answer #256887 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Michael's bank contains only nichels,dimes, and quarters. There are 43 coins in all valued at $3.70. The number of nickels is 9 short of being three times the sum of the number of dimes and quarters together.How many dimes are in the bank? \n" ); document.write( ".. \n" ); document.write( "let nickels be x \n" ); document.write( "dimes & quarters together will be 43-x \n" ); document.write( "... \n" ); document.write( "x= 3(43-x)-9 \n" ); document.write( "x=129-3x-9 \n" ); document.write( "4x=120 \n" ); document.write( "/4 \n" ); document.write( "x=30 nickels = 150 cents \n" ); document.write( "let dimes be y \n" ); document.write( "quarters = 43-30-y \n" ); document.write( "=10-y \n" ); document.write( "370-150 = 220 cents \n" ); document.write( "10y+25(13-y)=220 \n" ); document.write( "10y+325-25y=220 \n" ); document.write( "-15y=-105 \n" ); document.write( "y=7 dimes \n" ); document.write( "quarters = 6 \n" ); document.write( "... \n" ); document.write( "6*25+30*5+10*7= 370 cents \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |