contestada

Mr. Santos treated his students to a movie for winning the state contest. This also required taking some of the students’ parents as chaperones. The movie theatre charges $4 for each student and $6 for each adult. If Mr. Santos spent $180 on movie tickets and took 40 people (including himself), how many students did he take to the movies.

write two equations to help find the answer

Respuesta :

AdDGHTH6

Answer: 41

Step-by-step explanation:

Using a system of equations, it is found that he took 30 students to the movies.

------------------------------

This question is solved using a system of equations, and I will say that:

  • x is the number of students taken.
  • y is the number of adults taken.

------------------------------

40 people were taken, and thus:

[tex]x + y = 40[/tex]

As we want the number of students x, we can represent y as function of x, thus:

[tex]y = 40 - x[/tex]

------------------------------

  • Each student costs $4.
  • Each adult costs $6.
  • The total amount spent was $180.

Thus:

[tex]4x + 6y = 180[/tex]

Since [tex]y = 40 - x[/tex]

[tex]4x + 6(40 - x) = 180[/tex]

[tex]4x + 240 - 6x = 180[/tex]

[tex]-2x = -60[/tex]

[tex]2x = 60[/tex]

[tex]x = \frac{60}{2}[/tex]

[tex]x = 30[/tex]

He took 30 students to the movies.

A similar problem is given at https://brainly.com/question/22826010

Otras preguntas

Q&A Education