a valuable collection of coins contained old nickels, dimes, quarters, and pennies. The face value of the penn

Question

a valuable collection of coins contained old nickels, dimes, quarters, and pennies. The face value of the pennies was $8. There were seven more than three times as many quarters as dimes and sixteen less than twice as many nickels as quarters. If the face value of the entire collection was $38.40, how many of each kind of coin was there?

Answer 1

Let's just remove the $8 of pennies (800 pennies) from the collection.

Let Q, D and N be the number of quarters, dimes and nickels.

It's really hard to understand the question. If there were 3 times as many quarters as dimes, we would write:
Q = 3D

But then it says there were 7 more than ...
So I'd say we should write:
Q = 3D + 7

Similarly we should write:
N = 2Q - 16

We also know that
25Q + 10D + 5N = 3040 (subtracting away 800 pennies)

So you have 3 equations and 3 unknowns... solution should be straightforward.

Starting with:
Q = 3D + 7
N = 2Q - 16

Substituting in for Q:
N = 2(3D + 7) - 16
N = 6D + 14 - 16
N = 6D - 2

Now substituting into the big equation:
25Q + 10D + 5N = 3040

25(3D + 7) + 10D + 5(6D - 2) = 3040
75D + 175 + 10D + 30D - 10 = 3040
115D + 165 = 3040
115D = 3040 - 165
115D = 2875
D = 2875 / 115
D = 25

Now solve for the other values:
Q = 3D + 7
Q = 3(25) + 7
Q = 82

N = 6D - 2
N = 6(25) - 2
N = 150 - 2
N = 148

So we have:
82 quarters ($20.50)
25 dimes ($2.50)
148 nickels ($7.40)
800 pennies ($8.00)

As a double-check, add it up:
$20.50 + $2.50 + $7.40 + $8.00 = $38.40

Answer 2

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RE:
a valuable collection of coins contained old nickels, dimes, quarters, and pennies. The face value of the penn
a valuable collection of coins contained old nickels, dimes, quarters, and pennies. The face value of the pennies was $8. There were seven more than three times as many quarters as dimes and sixteen less than twice as many nickels as quarters. If the face value of the entire collection was $38.40,...

Answer 3

valuable collection coins contained nickels dimes quarters pennies face penn

Answer 4

Yes ! One i just put the state quarters in, one only pennies and another all the rest. Then I save the presidential quarters. One time i had over $100.00 in canadian change. went to Niagara falls Canada. all the banks closed on Sat. and had a hard time trying to get rid of the change. This was back in 1980. Why would a person give up 8% of the money to a store when it is done free at your bank.?

Answer 5

Old Nickels