Question

There are a total of 84 students in the robotics club and the science club. The science club has 12 more students than the robotics club. How many students are in the science club?

Answer 1

Answer:

48 students in science

Step-by-step explanation:

Let r = students in robots club

s = students in science club

r+s = 84

s = r+12

Substitute the second equation into the first

r+(r+12) = 84

Combine like terms

2r+12 = 84

Subtract 12 from each side

2r = 84-12

2r = 72

Divide by 2

r = 72/2 = 36

We need to find s

s = r+12

s = 36+12

s = 48

There are 48 students in the science club

Answer 2

Let a be the no. of students in the robotics club

and b be the no. of students in the science club

a + b = 84    (eqn. 1)

b = a + 12    (eqn. 2)

sub. eqn. 2 into eqn 1,

a + (a + 12) = 84

2a + 12 = 84

2a = 84 - 12

2a = 72

a = 36

sub. a = 36 in eqn 2

b = 36 + 12

b = 48

So there are 48 students in the science club.

Hope this helps!