Question

Ying was planning how to seat guests at a dinner. There were between 50 and 100 people coming.Ying noticed that they could be seated with 8 people to a table and no seats left empty.She also noticed that they could be seated with 12 people to a table with no seats left empty. How many people were coming?​

Answer 1

Answer:

96

Step-by-step explanation:

Since, between 50 and 100, only 96 can be divided by both 12 and 8, and with 12 tables, 8 at each, and with 8 tables, 12 at each.

Factors of 12 (after 50 to 100) - 60, 72, 84, 96.

Factors of 8 (after 50 to 100) - 56, 64, 72, 80, 88, 96.

Hence, 96 people were coming.

Answer 2

Answer:

96

Step-by-step explanation:

Since, between 50 and 100, only 96 can be divided by both 12 and 8, and with 12 tables, 8 at each, and with 8 tables, 12 at each.

Factors of 12 (after 50 to 100) - 60, 72, 84, 96.

Factors of 8 (after 50 to 100) - 56, 64, 72, 80, 88, 96.

Hence, 96 people were coming.