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 

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
 You have 737 coins that are all either dimes or quarters. If these coins are worth $107, how many of each type of coin do you have?

.

Let q = number of quarters

then

737-q = number of dimes

.

.25q + .10(737-q) = 107

.25q + 73.7-.10q = 107

.15q + 73.7 = 107

.15q = 33.30

q = 222 (number of quarters)

.

number of dimes:

737-q = 737-222 = 515  

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