Question

There are a total of 84 students in a robotics club in the science club. The science club is 12 more students in the robotics club. How many students are in the science club.

Answer 1

There are 48 students in the science club.

Explanation:

Total students: T=84

T=R+S→R+S=84 (eq. 1)

Students in Robotics club: R

Students in science club: S

The science club is 12 more students in the robotics club:

(eq. 2) S=12+R

How many students are in the science club?

S=?

Replacing eq. 2 in eq. 1:

(eq. 1) R+S=84

R+(12+R)=84

R+12+R=84

Adding like terms on the left side of the equation:

2R+12=84

Solving for R: Subtracting 12 both sides of the equation:

2R+12-12=84-12

Subtracting:

2R=72

Dividing both sides of the equation by 2:

2R/2=72/2

Dividing:

R=36

Replacing R by 36 in eq. 2:

(eq. 2) S=12+R

S=12+36

S=48

There are 48 students in the science club.

Answer 2

Explanation:

Let the Number of students in the Robotics club be x

So , the number of students in the Science club must be x+12

(Because it is given that the science club have 12 more students.)

Total number of students = 84

So ,

x+(x+12)=84

combining the like terms we get

2x+12=84

Subtract 12 from both sides

2x=72

Divide both sides by 2

x=36

So ,

Number of students in the Robotics club = 36

Number of students in the Science club =36+12 = 48