document.write( "Question 771931: I have been stuck on this question for about 45 minutes can somebody please help me?
\n" ); document.write( "Problem :A bank contains 44 coins (nickels, dimes, and quarters). There are twice as many dimes as nickels and 8 fewer nickels than quarters. How much money is in the bank? Thank You!
\n" ); document.write( "

Algebra.Com's Answer #470564 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
A bank contains 44 coins (nickels, dimes, and quarters). There are twice as many dimes as nickels and 8 fewer nickels than quarters. How much money is in the bank?
\n" ); document.write( ".
\n" ); document.write( "Let q = number of quarters
\n" ); document.write( "then from \"8 fewer nickels than quarters\":
\n" ); document.write( "q-8 = number of nickels
\n" ); document.write( "and from \"twice as many dimes as nickels\"
\n" ); document.write( "2(q-8) = number of dimes
\n" ); document.write( ".
\n" ); document.write( "q + q-8 + 2(q-8) = 44
\n" ); document.write( "q + q-8 + 2q-16 = 44
\n" ); document.write( "4q -8 -16 = 44
\n" ); document.write( "4q -24 = 44
\n" ); document.write( "4q = 68
\n" ); document.write( "q = 16
\n" ); document.write( ".
\n" ); document.write( "amount in bank:
\n" ); document.write( ".25q + .05(q-8) + .10(2(q-8))
\n" ); document.write( ".25(16) + .05(16-8) + .10(2(16-8))
\n" ); document.write( ".25(16) + .05(8) + .10(2(8))
\n" ); document.write( ".25(16) + .05(8) + .10(16)
\n" ); document.write( ".25(16) + .05(8) + .10(16)
\n" ); document.write( "4 + .40 + 1.60
\n" ); document.write( "$6.00
\n" ); document.write( "
\n" ); document.write( "
\n" );