SOLUTION: A person has quarters, dimes, and nickels with a total value of 500 cents($5.oo). The number of nickels is twice the number of quarters. The number of dimes is four less then the n

Question 228872: A person has quarters, dimes, and nickels with a total value of 500 cents($5.oo). The number of nickels is twice the number of quarters. The number of dimes is four less then the number of quarters.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A person has quarters, dimes, and nickels with a total value of 500 cents($5.oo). The number of nickels is twice the number of quarters. The number of dimes is four less then the number of quarters.
----------------------------------------------------
Equations:
Value Equation: 25q + 10d + 5n = 500 cents
Quantity Equat:: n = 2q
Quantity Equat:: d = q-4
----------------------------------------------------
Substitute to get:
25q + 10(q-4) + 5(2q) = 500
25q + 10q - 40 + 10q = 500
45q = 540
q = 12 (# of quarters)
n = 2q = 24 (# of nickels)
d = q-4 = 8 (# of dimes)
==================================
Cheers,
Stan H.
RELATED QUESTIONS
You have quarters, dimes and nickels with a total value of 500 cents or $5.00. The... (answered by stanbon)

A person has quarters, dimes, nickels, and pennies, with a total value of $3.86. The... (answered by scott8148)

A child's piggy bank contains nickels, dimes, and quarters. There are twice as many... (answered by jorel1380)

Garrett's coin bank contains 500 nickels, dimes, and quarters. He has the same number of... (answered by ikleyn)

A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90.... (answered by stanbon)

Kelly has a collection of nickels, dimes, and quarters with a total value of $9.70. There (answered by Fombitz)

a cashier has 25 coins consisting of nickels dimes and quarters with a value of $4.90.... (answered by lwsshak3)

A person has quarters, dimes, nickels,and pennies with a total value of $3.86. The... (answered by jim_thompson5910,richwmiller)

A person has Quarters dimes and nickels that are equal to $5.00 The number of nickels is (answered by ReadingBoosters)