Solve 90x+(55-x)*100leq5050

$$90x+(55-x) \times 100 \leq 5050$$

Solve for x

$$x\geq 45$$

Solution Steps

Use the distributive property to multiply 55-x by 100.

$$90x+5500-100x\leq 5050$$

Combine 90x and -100x to get -10x.

$$-10x+5500\leq 5050$$

Subtract 5500 from both sides.

$$-10x\leq 5050-5500$$

Subtract 5500 from 5050 to get -450.

$$-10x\leq -450$$

Divide both sides by -10. Since -10 is negative, the inequality direction is changed.

$$x\geq \frac{-450}{-10}$$

Divide -450 by -10 to get 45.

$$x\geq 45$$