Question

sara had 87 signs to hang up around the school. she gave 13 signs to each of 3 students. then she took the remaining signs and divided them up equally between the 3 students. choose the tape diagram that best represents this situation.

Explanation:

Step1: Calculate total initial given signs

Total given to 3 students: $3 \times 13 = 39$

Step2: Define remaining signs per student

Let $x$ = remaining signs per student. Total remaining: $3x$

Step3: Set up total signs equation

Total signs: $3(x + 13) = 87$
This matches the first diagram, where each student gets $x+13$ signs (13 initial + $x$ remaining), and 3 such parts sum to 87.

Answer:

The top tape diagram (with three sections of $x+13$ summing to 87)