If 1 serving has 12 cheese balls, then 60 servings have 60*12=<<12*60=720>>720 balls
If a 24oz barrel has 60 servings and we know that equates to 720 balls, then there are 720/24 = <<720/24=30>>30 balls in each oz
If 1 oz has 30 balls, then a 35oz barrel would have = <<35*30=1050>>1050 cheese balls
#### 1050