Solve 50x+(200-x)(200-120)geq13600

$$50x+(200-x)(200-120) \geq 13600$$

Solve for x

$$x\leq 80$$

Solution Steps

Subtract 120 from 200 to get 80.

$$50x+\left(200-x\right)\times 80\geq 13600$$

Use the distributive property to multiply 200-x by 80.

$$50x+16000-80x\geq 13600$$

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

$$-30x+16000\geq 13600$$

Subtract 16000 from both sides.

$$-30x\geq 13600-16000$$

Subtract 16000 from 13600 to get -2400.

$$-30x\geq -2400$$

Divide both sides by -30. Since -30 is negative, the inequality direction is changed.

$$x\leq \frac{-2400}{-30}$$

Divide -2400 by -30 to get 80.

$$x\leq 80$$