Problema Solution
there are 100 seats in a movie theater, you have a total of 100 dollars. Men ticket price is five dollars, woman ticket price is 2 dollars and children ticket price is ten cents. How many men, woman, and children can you fit in the movie theater at one time.
Answer provided by our tutors
let
m = the number of men
w = the number of women
c = the number of children
there are 100 seats in a movie theater and we will assume the theater is full:
m + w + c = 100
c = 100 - (m + w)
you have a total of 100 dollars:
5m + 2w +0.10c <= 100
plug c = 100 - (m + w) into the inequality:
5m + 2w +0.10(100 - (m + w)) <= 100
click here to see the graph solution:
one solution is: 10 men, 20 women and 100 - (10 + 20) = 70 children.