Solve 3000a+3500(20-a)geq6300

$$3000 a + 3500 ( 20 - a ) \geq 6300$$

Solve for a

$$a\leq \frac{637}{5}$$

Solution Steps

Use the distributive property to multiply 3500 by 20-a.

$$3000a+70000-3500a\geq 6300$$

Combine 3000a and -3500a to get -500a.

$$-500a+70000\geq 6300$$

Subtract 70000 from both sides.

$$-500a\geq 6300-70000$$

Subtract 70000 from 6300 to get -63700.

$$-500a\geq -63700$$

Divide both sides by -500. Since -500 is negative, the inequality direction is changed.

$$a\leq \frac{-63700}{-500}$$

Reduce the fraction \frac{-63700}{-500} to lowest terms by extracting and canceling out -100.

$$a\leq \frac{637}{5}$$