Problema Solution

There are eight more women than men in a theater group. The group has a total of 44 members. How many men and how many women are in the group?

Answer provided by our tutors

let


m = the number of men in the theater group

w = the number of women in the theater group


There are eight more women than men in a theater group


w = m + 8


The group has a total of 44 members


m + w = 44


by solving the system of equations


w = m + 8

m + w = 44


we find


m = 18 men


w = 26 women


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there are 18 men and 26 women in the theater group.