SOLUTION: A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes are

Question 251264: A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes are in the box?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
n = number of nickels
5n = value of the nickels
d = number of dimes
10d = value of dimes
q = number of quarters
25q = value of quarters
.
5n + 10d + 25q = 2600 cents
Note that it is important to work with cents to keep the units of measurement straight.
.
n=d (given)
q=2n (given)
.
Substituting to get the value equation defined in terms of 'n'
5n + 10n + 25(2n) = 2600
65n = 2600
n = 40
.
So, we have an answer:
n = 40
d = 40
q = 80
.
What is their value?
5n = 5(40) = 200 = $2.00
10d = 10(40) = 400 = $4.00
25q = 2000 = $20.00
TOTAL = $26.00
.
Done
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