Posted by **curtis** on Sunday, October 30, 2011 at 5:22pm.

the banks contains quarters , dime and nickels. The number of dimes is 1 less than the number of nickels. The number of nickels is 2 more than twice the number of quarters. The coins are worth $5.70. How many nickels are there?

- Math -
**Steve**, Monday, October 31, 2011 at 5:30am
Just take each sentence and write it symbols.

d = n-1

n = 2 + 2q

10d + 5n + 25q = 570

substitute for d:

10(n-1) + 5n + 25q = 570

10n - 10 + 5n + 25q = 570

15n + 25q = 580

substitute for n:

15(2+2q) + 25q = 580

30 + 30q + 25q = 580

55q = 550

q = 10

so, n = 2+2*10 = 22

so, d = 22-1 = 21

10(21) + 5(22) + 10(25) = 210 + 110 + 250 = 5.70

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