Attendance at a soccer game was 1020 people, which was 3/5 if the full seating capacity. What is the full seating capacity?

Question

word problem

Answer 1

Let x = full seating capacity

 

Translate:

"1020 people, which was 3/5 of the full seating capacity"     means

   1020                =        (3/5) * x   [note: in word problems, "of" usually means multiply]

 

 1020 = (3/5)x

  (5/3)1020 = x       [multiply both sides by (5/3)\

   1700 = x             [The seating capacity is 1700.]