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Answer:
Greatest number of t-shirts that can be ordered is 540.
Step-by-step 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
[tex]\frac{8.25x}{8.25}\leq \frac{4462.00}{8.25}\\x\leq 540.84[/tex]
Hence,
Greatest number of t-shirts that can be ordered is 540.