Solve 1.2*3600-50a/100+0.5aleq40

$$1.2 \times \frac { 3600 - 50 a } { 100 } + 0.5 a \leq 40$$

Solve for a

$$a\geq 32$$

Solution Steps

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

$$1.2\left(3600-50a\right)+50a\leq 4000$$

Use the distributive property to multiply 1.2 by 3600-50a.

$$4320-60a+50a\leq 4000$$

Combine -60a and 50a to get -10a.

$$4320-10a\leq 4000$$

Subtract 4320 from both sides.

$$-10a\leq 4000-4320$$

Subtract 4320 from 4000 to get -320.

$$-10a\leq -320$$

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

$$a\geq \frac{-320}{-10}$$

Divide -320 by -10 to get 32.

$$a\geq 32$$