SOLUTION: In a collection of coins there are twice as many nickels as dimes and 7 less quarters than dimes. Find the number of each coin if the collection is worth $16.25.

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Question 1181517: In a collection of coins there are twice as many nickels as dimes and 7 less quarters than dimes. Find the
number of each coin if the collection is worth $16.25.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
In a collection of coins there are twice as many nickels as dimes and 7 less quarters than dimes.
If dimes are x then nickels are 2x
quarters are x-7
Total is $16.25 = 1625 cents
10x + 5(2x) +25(x-7)=1625
20x + 25x - 175 = 1625
45x = 1800
x = 40
Dimes - 40
Nickels = 2x = 80
quarters x-7 = 33