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Roman55 [17]
3 years ago
8

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 mo

vie 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?
Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

After 9 movies they will have paid the same amount

Step-by-step explanation:

We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.

<u>For Duke expenses we have:</u>

A fixed expense of $ 111.60 per year

A variable expense of $ 4.00 for each movie.

The equation that represents the expenses is a linear equation like the one shown below

C = 111.60 + 4.00x

Where C represents the cost and x the number of movies.

<u>For Tennessee expenses we have:</u>

A variable expense of $ 16.40 for each film.

The equation that represents the expenses is a linear equation like the one shown below

C = 16.40x

Where C represents the cost and x the number of movies.

To know after how many movies have paid the same amount, we equate both equations and solve the variable x

111.60 +4.00x=16.40x\\\\16.40x - 4x = 111.60\\\\12.40x =111.60\\\\x =\frac{111.60}{12.40}\\\\x =9

After 9 movies they will have paid the same amount

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