Every 6 customers receive a soda, every 8 a hot dog there are 329 customers . how many received both

This is a least common multiple problem.

The least common multiple of 6 and 8 is 24

So every 24th person, less than or equal to 329 receives both a soda and a hot dog.

Using our multiples calculator, we find there are 13 multiples of 24 less than or equal to 329.

24,48,72,96,120,144,168,192,216,240,264,288,312