Question

In a certain year, a movie and its sequel grossed a combined total of $1513 million. If the sequel grossed $103 million more than the movie, then how much did earn movie gross?

Answer 1

In order to find out how much the first movie grossed, we can set up an algebraic equation, X + (X + $103 million) = $1513 million. Solving for X, we find that the first movie grossed $705 million.

Step-by-step explanation:

The student's question asks for the calculation of box office revenue for a movie when combined with its sequel and given the difference between their gross revenues. This is a typical algebra problem involving a system of equations. To solve it, let's define X as the gross revenue of the first movie, and therefore X + $103 million as the gross revenue of the sequel. The combined total of their gross revenues is $1513 million. We can set up the following equation:

X + (X + $103 million) = $1513 million

Solving this equation:

2X + $103 million = $1513 million

2X = $1513 million - $103 million

2X = $1410 million

X = $1410 million / 2

X = $705 million

Therefore, the first movie grossed $705 million.