A movie theater just added two rooms. One room is large enough for 125 people, and the other can seat up to 350 people. In each room, the seating is arranged in horizontal rows with the same number of seats in each row. what is the greatest number of seats that can make up each row?

Question

A movie theater just added two rooms.  One room is large enough for 125 people, and the other can seat up to 350 people.  In each room, the seating is arranged in horizontal rows with the same number of seats in each row.  what is the greatest number of seats that can make up each row?

David Q/R · Accepted Answer

It sounds to me as if you need to work out the highest common factor (HCF) of 125 and 300, which I think is 25, since 125 = 5 x 25, and 300 = 12 x 25. If so, you'll have 25 seats in each row, with 5 rows in the first room, and 12 rows in the second.