Word : ) : )

benny has 2 times as many dimes as quarters. if he's got $41.85 worth of dimes and quarters combined, how many quarters does he have?

The number of quarters . . . . . Q
The value of the quarters . . .  25 Q  cents

The number of dimes . . . . . . . 2 Q
The value of the dimes . . . . . . 10 (2Q) = 20 Q  cents

The total value of all the coins . . .  25Q + 20Q 

                                                     =  45Q cents = 4185 cents

Divide each side by  45 cents :          Q        =   93

                                                              2 Q  =   186

Benny has  93 quarters  and  186 dimes.

Check:
               93 quarters are worth  (0.25) x (93)  =   $23.25

              186 dimes are worth    (0.10) x (186)  =  $18.60

Total value of all the coins:   ($23.25) + ($18.60)  =   $41.85        yay !