Answer:
Greatest number of t-shirts that can be ordered is 540.
Explanation:
Given that:
Cost of printing one shirt = $8.25
One time fee to make the silkscreen = $38
Budget for the t-shirts = $4500.00
Let,
x be the number of t-shirts
According to given statement;
8.25x + 38 ≤ 4500.00
8.25x ≤ 4500.00 - 38
8.25x ≤ 4462.00
Dividing both sides by 8.25

Hence,
Greatest number of t-shirts that can be ordered is 540.