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150a+5000-50a\leq 10000
Use the distributive property to multiply 100-a by 50.
100a+5000\leq 10000
Combine 150a and -50a to get 100a.
100a\leq 10000-5000
Subtract 5000 from both sides.
100a\leq 5000
Subtract 5000 from 10000 to get 5000.
a\leq \frac{5000}{100}
Divide both sides by 100. Since 100 is positive, the inequality direction remains the same.
a\leq 50
Divide 5000 by 100 to get 50.