A university will spend at most $3,000 to buy monitors and keyboards for a computer lab. Each monitor will cost $200, and each keyboard will cost $25.
Let's assume the university buys "m" monitors and "k" keyboards.
The cost of each monitor is $200, so the total cost of "m" monitors is $200m.
Similarly, the cost of each keyboard is $25, so the total cost of "k" keyboards is $25k.
We can form two inequality equations based on the given information:
1) Cost of monitors ≤ $3000
200m ≤ 3000
2) Cost of keyboards ≤ $3000
25k ≤ 3000
From the first equation:
200m ≤ 3000
m ≤ 3000 / 200
m ≤ 15
From the second equation:
25k ≤ 3000
k ≤ 3000 / 25
k ≤ 120
Therefore, the university can buy at most 15 monitors and 120 keyboards with a maximum total cost of $3000.