At a gig 0.4 of the audience were female. If there were 100 more male audience members than female, how many were there in the audience?

Number of females = f

Total number of people in audience = n

0.4n = f

f + (f + 100) = n

2f + 100 = n

Find n:

f = 0.4n - - > Replace f with 0.4n in the equation 2f + 100 = n

2 (0.4n) + 100 = n - - > Multiply out the brackets

0.8n + 100 = n - - > Subtract 0.8n from both sides

100 = 0.2n - - > To get n, multiply both sides by 5

n = 500

There were 500 people in the audience.