Solve 150a+11600-60a/40*120leq4200

$$150 a + 1 \frac { 1600 - 60 a } { 40 } \times 120 \leq 4200$$

Solve for a

$$a\geq 20$$

Solution Steps

Multiply both sides of the equation by 40. Since 40 is positive, the inequality direction remains the same.

$$6000a+1\left(1600-60a\right)\times 120\leq 168000$$

Multiply 1 and 120 to get 120.

$$6000a+120\left(1600-60a\right)\leq 168000$$

Use the distributive property to multiply 120 by 1600-60a.

$$6000a+192000-7200a\leq 168000$$

Combine 6000a and -7200a to get -1200a.

$$-1200a+192000\leq 168000$$

Subtract 192000 from both sides.

$$-1200a\leq 168000-192000$$

Subtract 192000 from 168000 to get -24000.

$$-1200a\leq -24000$$

Divide both sides by -1200. Since -1200 is negative, the inequality direction is changed.

$$a\geq \frac{-24000}{-1200}$$

Divide -24000 by -1200 to get 20.

$$a\geq 20$$