# What 8 coins make 61 cents ?

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• John
Lv 4
20 hours ago

Why do you want to know? 5 dimes, two nickels and a penny.

• 2 days ago

Assuming this is current US coinage, that is, no 2-cent or 3-cent pieces, 20 cent pieces, etc.  Just pennies dimes, nickels, quarters, half dollars, dollars.

There can't be any dollars, as even one would make the total too much.

Now I will consider the pennies.  There must be at least one, to make 61 cents.  If there are more than one penny, then there must be multiples of 5 pennies added, in order to get a total ending in 1.  So there could be 6.  But there can't be 11 or more, because there can only be 8 coins total.  So there are either 1 or 6 pennies.

Let's look at 6 pennies first.  That leaves 55 cents, to make with 2 coins.  Only way to do that is a half dollar and a nickel.  If a quarter or dime is involved, we cannot get 55 cents with 2 coins.

So

50 + 5 + 1 + 1 + 1 + 1 + 1 + 1 is one solution.

Now how about the case of one penny?  That leaves 60 cents to make with 7 coins.  If one coin is a half dollar, then we have to make 10 cents with 6 coins.  Not possible, so there are no half dollars.

Are there any quarters?  If there are two quarters, then we have 10 cents to make with 5 coins, all of which must be dimes or nickels.  Not possible (remember, no 2-cent pieces).

How about one quarter?  That leaves 35 cents to make with 6 coins, all dimes and nickels.  This is an algebra problem with 2 equaltions and 2 variables, so there is only one all-integer solution, if any at all.  Happens to be a dime and 5 nickels.  So

25 + 10 + 5 + 5 + 5 + 5 + 5 + 1 is another solution.

How about no quarters?  That leaves 60 cents to make with only dimes and nickels, 7 coins.  Sure, 5 dimes and 2 nickels, and there is no other answer.  So

10 + 10 + 10 + 10 + 10 + 5 + 5 + 1 is another solution.

So there are 3 solutions, and no others:

One half dollar, a nickel, and six pennies;

A quarter, a dime, five nickels, and a penny; and

Five dimes, two nickels, and a penny.

• 3 days ago

5 dimes = \$0.50

2 nickels = \$0.10

1 penny = \$0.01

8 coins = \$0.61.

• 4 days ago

5 dimes == 0.50

2 nickels == 0.10

1 penny == 0.01

8 coins === 0.61

Source(s): My brain
• 4 days ago

thanks for two

• geezer
Lv 7
4 days ago

OK .. A Nickle is 5 Cents .. a Dime is 10 Cents .. and a Quarter is 25 Cents

So .. That's 1 Cent for the 1

5 Nickles is 25 Cents  .. so 1 Quarter and 5 Nickles is 50 Cents

leaving you with 1 Dime for the other 10 Cents .. making it 61 Cents using 8 coins.

1 + 25 + 5 + 5 + 5 + 5 + 5 + 10 = 61 Cents

• Phil
Lv 5
4 days ago

25 cents x 1= 25 cents.

10 cents x 1= 10 cents.

5 cents x 5 = 25 cents.

1 cent x 1 = 1 cent.

• 4 days ago

61/8 = 7.625

7 and five eighths 8 coins make 61 cents

• 4 days ago

One quarter, one dime, 5 nickels, and one cent.

• David
Lv 7
4 days ago

50c piece, nickel, and six pennies.  There, now what was so difficult about that?