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#1 2013-09-02 05:51:04
- mathstudent2000
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- Registered: 2013-07-26
- Posts: 79
mathcounts/amc problems
1. How many sets of 3 primes sum to 20?
2. An old book listed that 72 turkeys were bought for $\square.\square\square each, at a total cost of $\square 67.9\square. What was the cost of each turkey, if each \square stands for a digit that was unreadable in the old book?
Note: The \square digits are not all the same.
3. A number has three distinct digits. The sum of the digits equals the product of the digits. How many three-digit numbers satisfy this condition?
Genius is one percent inspiration and ninety-nine percent perspiration
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#2 2013-09-02 07:24:58
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: mathcounts/amc problems
Hi
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#3 2013-09-02 09:44:33
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: mathcounts/amc problems
Hi;
2)
What does \square mean?
The only solution to the problem as you have written it is:
72 x 5.11 = 367.92
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4 2013-09-02 10:59:46
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: mathcounts/amc problems
Yes, I agree. That is the only possibility.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#5 2013-09-02 12:38:24
- mathstudent2000
- Member
- Registered: 2013-07-26
- Posts: 79
Re: mathcounts/amc problems
ok
it means a box in which a unknown number is placed
Genius is one percent inspiration and ninety-nine percent perspiration
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#6 2013-09-02 12:44:27
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: mathcounts/amc problems
It is the only answer, it was derived in 2 ways.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#7 2013-09-02 12:45:51
- mathstudent2000
- Member
- Registered: 2013-07-26
- Posts: 79
Re: mathcounts/amc problems
ok got it
Genius is one percent inspiration and ninety-nine percent perspiration
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