There a total of 82 students in the robotics club and the science club. The science club has 6 fewer students than the robotic club. How many students are in science club?

Respuesta :

Answer:

Number of students in the science club are 38.

Step-by-step explanation:

Let, the number of students in the robotics club = x and the number of students in the science club = y.

Since, there are total 82 students in both the clubs.

So, we have,

[tex]x+y=82[/tex].

Moreover, the number of students in the science club are 6 less than those in the robotics club.

So, we get,

[tex]y=x-6[/tex]

Thus, solving the system of equations, we get,

[tex]x+y=82[/tex] implies [tex]x+(x-6)=82[/tex] implies [tex]2x-6=82[/tex] i.e. 2x= 88 i.e. x= 44

So, [tex]y=x-6[/tex] implies y= 44-6 i.e. y= 38

Hence, the number of students in the robotics club are 44 and the science club are 38.