Student council can spend up to $170 on a DJ, balancing budget with other event costs.
Here is an inequality that represents the amount of money the student council could spend on a DJ:
Let x be the amount of money the student council could spend on a DJ.
The total amount of money spent on streamers, snacks, balloons, and the DJ must be less than or equal to $400. This can be represented by the following inequality:
45 + 150 + 35 + x ≤ 400
Combining like terms, we get:
230 + x ≤ 400
Subtracting 230 from both sides, we get:
x ≤ 170
Therefore, the student council could spend up to $170 on a DJ.