Question

50 points

There are 140 people in a theater watching a movie. The number of children present is 3 times the number of adults. How many children are watching the movie?

12 children

35 children

3 children
105 children

Answer 1

By setting up and solving a simple algebraic equation to represent the given information about the number of children and adults in the theater, we find that there are 105 children watching the movie.

Step-by-step explanation:

The subject of this question is mathematics, specifically the area that deals with basic algebra or simultaneous equations. Given that there are 140 people in a theater, and the number of children is three times the number of adults, we can solve this by setting up an equation. Let the number of adults be A and the number of children be C. The problem states two things: C = 3A, and the total number of people is A + C = 140.

We can substitute the first equation into the second to find the number of adults: A + 3A = 140. Simplifying this gives 4A = 140; therefore, A = 140 / 4 = 35. Then, using the first equation to find the number of children: C = 3 × 35 = 105 children. Hence, there are 105 children watching the movie.

Answer 2

The answer is 35 children and 105 adults

Step-by-step explanation:

we don't know the number of kids or adults in the theater , so they are unknown.

x: adults

y: kids

we know that y=3x (1)

we also know that all the people in the theater are 140.

so we also know that x+y= 140 (2)

And now you need to take (1) and put it in (2):

y=3x

x+y= 140 x+3x=140 =} 4x=140=} x=140/4=} x=35 kids. so if we put on (1) the number of the kids we have the number of adults: y=3*35=}y=105 adults

I hope I helped !