We sold 345 barrels of popcorn. If two thirds were sold to adults costing $13.95, how much money did we make from selling popcorn to children if children's popcorn cost two thirds the cost of adult popcorn? Answer with dollar amount rounded to the nearest hundreth
Since two thirds of the barrels of popcorn were sold to adults, then one third was sold to children.
One third of 345 barrels is 345/3 = <<345/3=115>>115 barrels.
If children's popcorn cost two thirds the cost of adult popcorn, then it cost (2/3)*$13.95 = $9.30.
So, we made $9.30*115 = $<<9.3*115=1069.50>>1069.50 from selling popcorn to children. Answer: \boxed{1069.50}.