Question

At a concert, the number of security guards needed is based on the average density of people in an area of 25'x25' called a block. The concert space measures 350' by 200'. The number of security guards is based on the number of blocks necessary and each security guard can only be responsible for one block. 12,000 people are expected to attend the concert.
a) how many security guards will be needed?
b) how many people, rounded to the nearest 10, will be in each block?

Answer 1

find total area  by multiplying  350' x 200' = 70,00 sq ft

area of one block, multiply 25' x 25' = 625 sq ft  = area for one Security guard

divide area for one security guard into total area of facility  70,000 / 625 =

112 security guards

find how many people for each block = 70,000 / 625 = 112 blocks

12,000 people divided by 112 blocks = 12,000 / 112 = 107.14 rounded to nearest 10 = 110 people per block