Question

at a graduation dinner, an equal number of guests was seated at each of 3 large tables, and 8 late - arriving guests were seated at a smaller table. there were 38 guests in all. if n represents the number of people seated at each of the large tables, what equation could you use to find the value of n? choose the correct answer below. a. $8n - 3 = 38$ b. $3n - 8 = 38$ c. $8n + 3 = 38$ d. $3n + 8 = 38$

Explanation:

Step1: Calculate guests at large tables

Total guests at 3 large tables: $3n$

Step2: Add late-arriving guests

Total guests = large table guests + late guests: $3n + 8$

Step3: Set equal to total guests

Total guests are 38, so: $3n + 8 = 38$

Answer:

D. $3n + 8 = 38$