SOLUTION: moolah has 24 coins that are all dimes and quarters. the value of the coins is $3.75. how many dimes and how many quarters does moolah have?

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Question 421525: moolah has 24 coins that are all dimes and quarters. the value of the coins is $3.75. how many dimes and how many quarters does moolah have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
24%2A.25+=+6 dollars
12%2A.25+=+3 dollars
There can't be 12 quarters, since the 75 cents
left over isn't evenly divided by 10
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Suppose there are 11 quarters
+11%2A.25+=+2.75+
3.75+-+2.75+=+1 dollar left
1%2F.1+=+10 dimes
That makes 21 coins- not enough
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Suppose ther are 9 quarters
+9%2A.25+=+2.25+
3.75+-+2.25+=+1.5 dollars
1.5%2F.1+=+15 dimes
9+%2B+15+=+24
So, there are 9 quarters and 15 dimes