Question 1100355
<pre>
In fact, you can even use artificial intelligence.  You cannot trust AI for
advanced stuff, but it can solve simple stuff very easily.  I copied and pasted
exactly word-for word what you posted above (without punctuation marks) into: 

https://poe.com/

and here's what I got (copied and pasted) from that site:

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Let's define the variables for the coins:

Let 𝑑 be the number of dimes.
Let 𝑛 be the number of nickels.
Let 𝑞 be the number of quarters.

From the problem, we have the following relationships:

The total value of the coins is $3.15, which is 315 cents:

10𝑑+5𝑛+25𝑞=315

Sam has half as many quarters as the total number of dimes and nickels:
𝑞=1/2(𝑑+𝑛)

He has two more nickels than dimes:
𝑛=𝑑+2

Now, we can substitute 𝑛 in terms of 𝑑 into the other equations. 

From the third equation, we have: 𝑛=𝑑+2

Substituting 𝑛 into the second equation:
𝑞=(1/2)(𝑑+(𝑑+2))=(1/2)(2d+2)=d+1

Now substituting 𝑛 and 𝑞 into the first equation:

10𝑑+5(𝑑+2)+25(𝑑+1)=315

Expanding this gives:

10𝑑+5𝑑+10+25𝑑+25=315

40𝑑+35=315

Now, subtract 35 from both sides:

40𝑑=280

Dividing by 40:

𝑑=7

Now that we have d, we can find 𝑛 and 𝑞
𝑛=𝑑+2=7+2=9
𝑞=𝑑+1=7+1=8

Thus, the solution is:

Dimes (d): 7
Nickels (𝑛): 9
Quarters (𝑞): 8
Final Answer:

Dimes: 7
Nickels: 9
Quarters: 8

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That was all copied and pasted exactly as poe.com printed instantly. But
don't depend on it for more advanced math.  It will sometimes make stupid
mistakes.  AI is not perfected yet.  But someday it will be, and will take us
all over, just as Stephen Hawking warned. LOL (Maybe I shouldn't be laughing).

Edwin</pre>