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If you have $6.30 in quarters and dimes and the amount of dimes is twice as much as quarters, how much of each do they have?
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Group coins in sets containing {2 dimes and 1 quarters} in each set.
The condition directly says that it is possible to do.
Then each set worth is 2*10+25 = 45 cents.
How many sets are there?
= 14.
Hence, there are 14 quarters and 2*14 = 28 dimes.
Answer. There are 14 quarters and 28 dimes.