Question 677082
Let number of quarters = q
Therefore number of dimes = 55 - q

By condition, q * 25 + (55 - q) * 10 = 850  [all converted to cents]
25q + 550 - 10q = 850
25q - 10q = 850 - 550
15q = 300
q = 300/15 = 20

Therefore, number of quarters = 20
and number of dimes = 55 - 20 = 35