Over a period of 5 games a basketball team made exactly 44% of their shots. the number of shots taken was more than 310 and less than 350. How many shots were made?

Answer 1

let x be the total number of shots taken

then ( 44/100)x must be an integer
(11/25)x must be an integer

the number must end in 25 or 00 to be divisible by 25
so within your domain given, the number must be 325

They must have taken 325 shots

check:
44% of 325 = .44(325) = 143

and 143/325 = .44 = 44%