The ratio of men to women working for a company is 5 to 8. If there are 364 employees total, how many men work for the company?

5 'parts' of the total company staff are men, and 8 'parts' are women.

That's 13 'parts' all together, comprising 364 people.

So each 'part' is 364/13 = 28 people.

Men = 5 'parts' = 5 x 28 = 140 men

Women = 8 'parts' = 8 x 28 = 224 women

Check:

140/224 = 70/112 = 35/56 = 5/8

140 + 224 = 364

yay!