Question 1205537
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Lucas has 37 coins, all nickels and dimes in his piggy bank. 
The value of the coins is $3.10. How many dimes does Lucas have?
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D dimes;  (37-D) nickels.


Write the total money equation

    10*D + 5*(37-D) = 310  cents.


Solve it and find D

    10*D + 5*37 - 5*D = 310

    10*D - 5*D = 310 - 5*37

        5*D   =     125

          D   =     125/5 = 25.


<Y>ANSWER</U>.  25 dimes.
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Solved.