Solve 80a+50(60-a)leq4000

$$80 a + 50 ( 60 - a ) \leq 4000$$

Solve for a

$$a\leq \frac{100}{3}$$

Solution Steps

Use the distributive property to multiply 50 by 60-a.

$$80a+3000-50a\leq 4000$$

Combine 80a and -50a to get 30a.

$$30a+3000\leq 4000$$

Subtract 3000 from both sides.

$$30a\leq 4000-3000$$

Subtract 3000 from 4000 to get 1000.

$$30a\leq 1000$$

Divide both sides by 30. Since 30 is positive, the inequality direction remains the same.

$$a\leq \frac{1000}{30}$$

Reduce the fraction \frac{1000}{30} to lowest terms by extracting and canceling out 10.

$$a\leq \frac{100}{3}$$