Question

The two top movies of 2017 were movie A and movie B. Movie B grossed $13 million less than movie A, and together the two films took in $1021 million. How much did each of these movies earn?

a) Movie A earned $517 million, and movie B earned $504 million.
b) Movie A earned $517 million, and movie B earned $531 million.
c) Movie A earned $504 million, and movie B earned $517 million.
d) Movie A earned $531 million, and movie B earned $517 million.

Answer 1

Movie A earned $517 million, and Movie B earned $504 million.

Step-by-step explanation:

Let's assume that Movie A earned x million. According to the information given, Movie B earned $13 million less than Movie A, so the earnings of Movie B can be represented as (x - 13) million.

Together, the two films earned $1021 million, which can be represented as x + (x - 13) = 1021 million.

Combining like terms, we get 2x - 13 = 1021.

Adding 13 to both sides of the equation, we have 2x = 1034.

Dividing both sides by 2, we get x = 517.

Therefore, Movie A earned $517 million, and Movie B earned $504 million.