Question 399413
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Hi
737 coins
Let x and (737-x) represent the number of quarters and dimes respectively
Question states*** CENTS makes sense
 25x + 10(737-x) = 10700 CENTS
Solving for x 
    15x = 10700 - 7370
      x = 222, the number of quarters.  515 the number of dimes.   (737-222)
CHECKING our Answer***
 25*222 + 10*515 = 10700 or $107.00