Solve for a
a\leq \frac{37}{3}
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9000a+180000-6000a\leq 217000
Use the distributive property to multiply 6000 by 30-a.
3000a+180000\leq 217000
Combine 9000a and -6000a to get 3000a.
3000a\leq 217000-180000
Subtract 180000 from both sides.
3000a\leq 37000
Subtract 180000 from 217000 to get 37000.
a\leq \frac{37000}{3000}
Divide both sides by 3000. Since 3000 is positive, the inequality direction remains the same.
a\leq \frac{37}{3}
Reduce the fraction \frac{37000}{3000} to lowest terms by extracting and canceling out 1000.
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