Question

Duke pays $111.60 for his yearly movie pass plus $4.00 for popcorn for each movie.Tenneshia pays $16.40 for a ticket to every movie but she doesn't buy food because she doesn't want to waste the money. In how many movies will they have paid the same amount?

Answer 1

Answer is 9 movies

n = no. of movies

111.6 +4n= 16.4 n

116.4= (16.4-4)n

116.4 = 12.4 n

n = 116.4/12.4

n = 9 movies

Answer 2

9 movies

Explanation:

If we let the number of movies watched is "x",

Duke's total cost:

111.60 + 4x

Tenneshia's total cost:

16.40x

Since, the cost needs to be equal, we equate both their equations and solve for x, the number of movies at which they will have paid the same amount. Thus:

111.60 + 4x = 16.40x

111.60 = 16.40 x - 4x

111.60 = 12.40 x

x = 111.60/12.40 = 9

Hence, after 9 movies, they will have paid the same amount.