Answer:
Quantity (lbs) of type 1 candy  x = 8
Quantity (lbs) of type 2 candy  y = 17,5
Step-by-step explanation:
Let´s call  "x" quantity (in pounds) of candy type 1 in the mixture, and "y" quantity (in pounds ) of candy type 2, then according to the problem statement.
x  +  y  =  25,5
2,20*x  +  7,30*y = 5,70 * 25,5   ⇒  2,20*x  +  7,30*y = 145,35
Then we have a two equation system
x  +  y  =  25,5                                   ⇒   y = 25,5 - x
2,20*x  +  7,30*y = 145,35               ⇒ 2,20*x + 7,30* (25,5 - x ) = 145,35
2,20*x + 186,15 - 7,30*x = 145,35
5,1*x  = 40,8
x = 40,8/5,1
x = 8 lbs
And   y  =  25,5 - 8
y = 17,5 lbs