First off we have x number of students in the robotics club, 12 more in the Science club, and 84 students in total. This means: Robotics Club = x Science Club = (x + 12) Total = 84
Okay, so here's the equation:
x + (x + 12) = 84 ~ Add like terms. 2x + 12 = 84 ~ Subtract 12 by both sides. 2x = 72 ~ Divide both sides by 2. x = 36 ~ Meaning that the Robotics Club has 36 members.
At this point you can do: 84 - 36 = 48 which gives you the number of members in the Science Club, though...:
36 + (36 + 12) = 84 ~ Add the two in the parenthesis to get your answer. 36 + 48 = 84 ~ 48 is the number of Students in the Science Club. 84 = 84
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