document.write( "Question 889185: bobs bank contains only nickels, dimes and quarters. there are 51 coins in all valued at 4.15. the number of nickels is 5 short of being three times the sum of the number of dimes and quarters. how many dimes are in the bank \n" ); document.write( "
Algebra.Com's Answer #537973 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! n+d+q=51; \n" ); document.write( "n=-5+3(d+q); \n" ); document.write( "0.05n+0.10d+0.25q=4.15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify two of the equations. \n" ); document.write( "n=-5+3d+3q \n" ); document.write( "n-3d-3q=-5. \n" ); document.write( "- \n" ); document.write( "n+2d+5q=83.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve the system: \n" ); document.write( "--------------------- \n" ); document.write( "n+d+q=51 \n" ); document.write( "- \n" ); document.write( "n-3d-3q=-5 \n" ); document.write( "- \n" ); document.write( "n+2d+5q=83 \n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One method to start can be add three times the \"51\" equation to the second equation and quickly get a value for n. \n" ); document.write( " |