The correct answer is Small Bottles = 18 and Large Bottles = 5
To answer this question, one must first use the rates of filling to calculate the total number of bottles filled of each type in 1 minutes (or 60 seconds).
Small Bottles [3 per second]
60 seconds x 3 bottles per second = 180 bottles per minute
Large Bottles [5 per 6 second increment]
60 seconds -> 10 x 6 second increments
5 bottles x 10 increments = 50 bottles per minute
If there are 10 shipping crates that each have the same number of small bottles and same number of large bottles, dividing each total by 10 should provide the number of each sized bottle per crate.
Small Bottles Per Crate -> 180 divided by 10 -> 18 per crate
Large Bottles Per Crate -> 50 divided by 10 -> 5 per crate