A bank contains 57 Nickles,dimes and quarters. There are 8 more dimes than quarters and 5 more nickles than dimes. How much money is in the bank?
2007-02-19 08:23:43 · 4 answers · asked by buckscent2003 1 in Education & Reference ➔ Homework Help
8+Q = D
5+D = N
D + N + Q = 57
8+ Q + 5 + 8 + Q + Q =57
3Q = 36
Q = 12
D = 20
N = 25
2007-02-19 08:29:16 · answer #1 · answered by FCabanski 5 · 0⤊ 0⤋
N + D + Q = 57 coins total
D = Q + 8
N = D + 5
substitute to the first equation (you will get Q)
(D + 5) + (Q + 8) + Q = 57
((Q + 8) + 5) + (Q + 8) + Q = 57
Q + 13 + Q + 8 + Q = 57
3Q + 21 = 57
3Q = 36
Q = 12
D = 12+ 8 = 20
N = 20 + 5 = 25
you can figure out the worth of each...
2007-02-19 08:31:43 · answer #2 · answered by Grover 3 · 0⤊ 0⤋
n+d+q=57
d=q+8
d=n+5
use substitution to solve.
2007-02-19 08:49:30 · answer #3 · answered by Briar 4 · 0⤊ 0⤋
$6.25
N=25
D=20
Q=12
2007-02-19 08:33:55 · answer #4 · answered by Anonymous · 0⤊ 0⤋