Jason has some quarters and dimes. He has 22 coins worth a total of 3.55 . How many of each type of coin does he have? Number of quarters: square Number of dimes: square

Let's denote the number of quarters as and the number of dimes as . We are given two equations based on the problem statement:1. The total number of coins is 22: 2. The total value of the coins is 25q + 10d = 355 d d = 22 - q d q 25q + 10(22 - q) = 355 25q + 220 - 10q = 355 15q = 355 - 220 15q = 135 q = \frac{135}{15} q = 9 q d = 22 - q d = 22 - 9 d = 13 \boxed{9} \boxed{13}$