Question

module distinguishing between two types of situations
choose the tape diagram and equation that best represent the situation.
which equation matches this situation?
there are 7 students at tutoring. the teacher assigned each of them the same number of problems to complete. then another student joined and the teacher assigned that student 3 problems to complete. 52 problems were assigned in all.
tape diagram with 7 x - labeled boxes and 1 box labeled 3, total labeled 52
options: 3x + 7 = 52, 7(x + 3) = 52, 7x + 3 = 52

Explanation:

Step1: Analyze the problem

There are 7 students with \( x \) problems each, so total for them is \( 7x \). Then 1 student with 3 problems. Total problems are 52.

Step2: Form the equation

Sum of problems from 7 students and 1 student: \( 7x + 3 = 52 \).

Answer:

\( 7x + 3 = 52 \) (the third option: \( 7x + 3 = 52 \))