Question 1205537
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The typical formal algebraic solution shown by the other tutor is of course fine; you should understand it and be able to solve similar problems by that method.<br>
For a mental solution method....<br>
Note that if all 37 coins were dimes the total value would be $3.70.
That is $0.60 more than the actual total of $3.10.
Since each nickel is worth $0.10-$0.05 = $0.05 less than each dime, the number of nickels must be $0.60/$0.05 = 60/5 = 12.
Therefore the number of dimes is 37-12 = 25<br>
ANSWER: 25<br>
Note this method can be used to solve a wide range of similar problems quickly, without formal algebra.<br>