Question

there are $x$ students in the robotics club. there are 8 fewer students in the drawing club than in the robotics club, and there are 50% more students in the drama club than the drawing club for a total of 15 students in the drama club. how many students are in the robotics club?
choose the tape diagram that represents the number of students in the drama club.

Explanation:

First part: Solve for robotics club size

Step1: Define drawing club size

Let drawing club size = $x - 8$

Step2: Set up drama club equation

Drama club is 50% more than drawing: $1.5(x - 8) = 15$

Step3: Isolate $(x-8)$

$x - 8 = \frac{15}{1.5}$
$x - 8 = 10$

Step4: Solve for $x$

$x = 10 + 8$

Drama club has 50% more students than drawing club, meaning its size is 1.5 times the drawing club. A 50% increase means the drama club's tape should be split into 3 equal parts, where 2 parts equal the drawing club's length, and the total is 15. The right diagram represents this relationship.

Answer:

18

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Second part: Choose correct tape diagram