Solve 55*60+50(x-60)>5500

$$55 \times 60 + 50 ( x - 60 ) > 5500$$

Solve for x

$$x>104$$

Solution Steps

Multiply 55 and 60 to get 3300.

$$3300+50\left(x-60\right)>5500$$

Use the distributive property to multiply 50 by x-60.

$$3300+50x-3000>5500$$

Subtract 3000 from 3300 to get 300.

$$300+50x>5500$$

Subtract 300 from both sides.

$$50x>5500-300$$

Subtract 300 from 5500 to get 5200.

$$50x>5200$$

Divide both sides by 50. Since 50 is positive, the inequality direction remains the same.

$$x>\frac{5200}{50}$$

Divide 5200 by 50 to get 104.

$$x>104$$