There are a total of 84 students in the robotics club and the science club. The science club has 12 more students than the robot ics club. How many students are in the science club?
2 answers:
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
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!
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