Solve 200x+1600(100-x)<17400

$$200x+1600(100-x) < 17400$$

Solve for x

$$x>\frac{713}{7}$$

Solution Steps

Use the distributive property to multiply 1600 by 100-x.

$$200x+160000-1600x<17400$$

Combine 200x and -1600x to get -1400x.

$$-1400x+160000<17400$$

Subtract 160000 from both sides.

$$-1400x<17400-160000$$

Subtract 160000 from 17400 to get -142600.

$$-1400x<-142600$$

Divide both sides by -1400. Since -1400 is negative, the inequality direction is changed.

$$x>\frac{-142600}{-1400}$$

Reduce the fraction \frac{-142600}{-1400} to lowest terms by extracting and canceling out -200.

$$x>\frac{713}{7}$$