SOLUTION: David has a total of $4.25. He has twice as many dimes as nickels. The number of quarters that he has is three less than the number of nickles. how many of each coin does he have

Question 1056059: David has a total of $4.25. He has twice as many dimes as nickels. The number of quarters that he has is three less than the number of nickles. how many of each coin does he have
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
David has a total of $4.25. He has twice as many dimes as nickels. The number of quarters that he has is three less than the number of nickles. how many of each coin does he have?
------------------
Value Eq:: 5n + 10d + 25q = 425 cents
Quantity:: q = n-3
Quantity:: d = 2n
--------------------------
Divide through the 1st by 5
Substitute for "q" and for "d"
Solve for "n"::
n + 2d + 5q = 85
n + 2(2n) + 5(n-3) = 85
10n - 15 = 85
10n = 100
n = 10 (# of nickels)
d = 2n = 20 (# of dimes)
q = n-3 = 7 (# of quarters)
-----------
Cheers,
Stan H.
-------------
RELATED QUESTIONS
I need help please!!!!!!!David has a collection of dimes and quarters that is worth $7.35 (answered by richwmiller)

1. Joan has $3.50 in nickels, dimes and quarters. SHe has the same number of nickels as... (answered by solver91311)

Will has a bunch of nickles, dimes and quarters. He has twice as many times as Nickels.... (answered by Fombitz)

Nathan has three times as many dimes as he does quarters. He has five less than twice as... (answered by CubeyThePenguin)

Jon has three times as many dimes as he does quarters. He has as many nickels as he has... (answered by orca)

1) Ethan has quarter and nickels. If Ethan had six more quarters than and two times the... (answered by stanbon)

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

roger has $3.10 consisting of quarters, dimes and nickels. He has twice as many quarters... (answered by JBarnum)

1. Jordan has a total of one hundred thirty nickels, dimes and quarters. He has three and (answered by josmiceli)