Solve 1650*x/10-900/900geq10%

$$\frac{ 1650 \times \frac{ x }{ 10 } -900 }{ 900 } \geq 10 \%$$

Solve for x

$$x\geq 6$$

Solution Steps

Multiply both sides of the equation by 900, the least common multiple of 900,100. Since 900 is positive, the inequality direction remains the same.

$$1650\times \frac{x}{10}-900\geq 9\times 10$$

Cancel out 10, the greatest common factor in 1650 and 10.

$$165x-900\geq 9\times 10$$

Multiply 9 and 10 to get 90.

$$165x-900\geq 90$$

Add 900 to both sides.

$$165x\geq 90+900$$

Add 90 and 900 to get 990.

$$165x\geq 990$$

Divide both sides by 165. Since 165 is positive, the inequality direction remains the same.

$$x\geq \frac{990}{165}$$

Divide 990 by 165 to get 6.

$$x\geq 6$$