If I read the information on Wikipedia correctly, the answer to your question is 'half of the number of chromosomes in the parent cell': http://en.wikipedia.org/wiki/Meiosis
The result of meiosis is to produce gametes (sex cells) having half the chromosome complement (all unpaired) - a state known as 'haploid'.
When sex cells combine, a zygote is formed with all the chromosomes paired up once again - known as 'diploid'. The zygotes go on to develop into embryos and eventually new offspring.
The answer to zhane13's question is therefore that the offspring will have exactly the same number of chromosomes as the parents.