Solve 200x+30(70-x)geq3500

$$200 x + 30 ( 70 - x ) \geq 3500$$

Solve for x

$$x\geq \frac{140}{17}$$

Solution Steps

Use the distributive property to multiply 30 by 70-x.

$$200x+2100-30x\geq 3500$$

Combine 200x and -30x to get 170x.

$$170x+2100\geq 3500$$

Subtract 2100 from both sides.

$$170x\geq 3500-2100$$

Subtract 2100 from 3500 to get 1400.

$$170x\geq 1400$$

Divide both sides by 170. Since 170 is positive, the inequality direction remains the same.

$$x\geq \frac{1400}{170}$$

Reduce the fraction \frac{1400}{170} to lowest terms by extracting and canceling out 10.

$$x\geq \frac{140}{17}$$