SOLUTION: A box contains $6.25 in nickels, dimes, and quarters. There are 85 coins in all, with three times as many nickels as dimes. How many quarters are there.

Question 291019: A box contains $6.25 in nickels, dimes, and quarters. There are 85 coins in all, with three times as many nickels as dimes. How many quarters are there.
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
no of dimes is X, no of nickels is 3X, no of quarters is 85 - 4X
so 10X + (3Xx5) + (85 - 4x)x25 = 625 (do it all in cents)
10X + 15X + 2125 -100X = 625
-75X = -1500
X = 20,
so 20 dimes, 60 nickels and 5 quarters
To check 20 x 10 = 200
60 x 5 = 300
5 x 25 = 125
total = 625 or $6.25
RELATED QUESTIONS
A piggy bank contains nickels, dimes and quarters. There are three times as many dimes as (answered by richwmiller)

A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the (answered by stanbon)

A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the (answered by oberobic)

A box contains $6.60 in nickels, dimes and quarters. There are three times as many... (answered by macston)

A box contains $8.00 in nickels,dimes,and quarters .There are three times as many nickels (answered by rothauserc)

a coin bank contains 25 coins in nickels dimes and quarters. there are four times as many (answered by Osran_Shri)

A coin bank contains 25 coins in nickels, dimes, and quarters. There are four times as... (answered by ewatrrr)

A coin bank contains 25 coins in nickels, dimes and quarters. There are four times as... (answered by josgarithmetic,MathTherapy)

cody's bank contains $4.30 in nickels, dimes and quarters there are 38 coins in all, with (answered by stanbon)