What 8 coins make 61 cents ?

18 Answers

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  • 4 months ago

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

  • 4 months ago

    What is more interesting about this problem is to find all solutions.

    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.

  • 4 months ago

    5 dimes = $0.50

    2 nickels = $0.10

    1 penny = $0.01

    8 coins = $0.61.

  • Anonymous
    4 months ago

    5 dimes == 0.50

    2 nickels == 0.10

    1 penny == 0.01

    8 coins === 0.61

    Source(s): My brain
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  • 4 months ago

    thanks for two

  • geezer
    Lv 7
    4 months 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 6
    4 months 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 months ago

    61/8 = 7.625

    7 and five eighths 8 coins make 61 cents

  • 4 months ago

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

  • David
    Lv 7
    4 months ago

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

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