Problema Solution
A movie producer earns 5 million every time he wins an award at a film festival, but loses 2 million every time he fails to win.
He has won 70 million after 21 festivals.
How many awards has he won?
Answer choices:
5 6 8 10 13 14 15 16 18 20
Answer provided by our tutors
let
x = number of festivals won, x > 0
y = number of festivals failed to win, y > 0
the total number of festivals he has been to is 21
x + y = 21
he has won total of 70 millions
5x - 2y = 70
by solving the system of equations
x + y = 21
5x - 2y = 70
we find
x = 16
y = 5
the movie producer has won 16 festivals.