if you have 40 coins,and a total of 7.75,and its all quarters and dimes,how many dimes are there?

I do online school and I am positively stumped.. Please help!
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If all are quarters = 31 coins difference in value of dime and quarter = 15 cents slowly subtract by assuming all the coins are quarters and replace the coins to a dime one by one the answer would be 15 dimes and 25 quarters
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