Question 1092835
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Let N be the number of nickels.
Then the number of dimes is (30-N).

Amount of money (cents) in nickels is  5*N.
Amount of money (cents) in dimes   is 10*(30-N).

The condition says

5N = 2*(10*(30-N)).


It is your equation to solve. Simplify and find N:

5N = 20*(30-N)  ====>  5N = 600 - 20N  ====>  5N + 20N = 600  ====>  25N = 600  ====>  N = {{{600/25}}} = 24.


<U>Answer</U>.  24 nickels and 6  = 30-24 dimes.


<U>Check</U>   Amount in nickels = 5*24 = 120 cents.
        Amount in dimes = 10*6 = 60 cents.    ! Correct !.
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