**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**