Solve for a
a\leq 10
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320a+7500-250a\leq 8200
Use the distributive property to multiply 250 by 30-a.
70a+7500\leq 8200
Combine 320a and -250a to get 70a.
70a\leq 8200-7500
Subtract 7500 from both sides.
70a\leq 700
Subtract 7500 from 8200 to get 700.
a\leq \frac{700}{70}
Divide both sides by 70. Since 70 is positive, the inequality direction remains the same.
a\leq 10
Divide 700 by 70 to get 10.
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