<PRE><B>Question 642011</B>
Let d = the number of dimes
Let q = the number of quarters
the total number of coins is the sum of dimes and quarters giving
(1) d + q = 19
Now count up the value of your coins in CENTS. Each dime is ten cents and each quater is 25 cents, the total is $3.25 or 325 CENTS
(2) 10*d + 25*q = 325
Divide out 5 from (2) to simplify to 
(3) 2d + 5q = 65
Now solve (1) and (3) simultaneously to yield
(4) d = 10 and q = 9
Right? Yes!
Because (10 + 9) = 19 and 10 dimes is $1 and 9 quarters is $2.25, giving a total of $3.25.</PRE>