#### Answer

8 hours

#### Work Step by Step

$1500+125(h-3)\leq2125$
Distribute 125: $1500+125h-375\leq2125$
Combine like terms: $1500-375+125h\leq2125$
Simplify: $1125+125h\leq2125$
Subtract 1125 from both sides: $1125-1125+125h\leq2125-1125$
Simplify: $125h\leq1000$
Divide both sides by 125: $\frac{125h}{125}\leq\frac{1000}{125}$
Simplify: $h\leq8$
The most hours that they can use the ballroom is 8 hours.