Solve 0.8(100-a)+0.3aleq50

$$0.8 ( 100 - a ) + 0.3 a \leq 50$$

Solve for a

$$a\geq 60$$

Solution Steps

Use the distributive property to multiply 0.8 by 100-a.

$$80-0.8a+0.3a\leq 50$$

Combine -0.8a and 0.3a to get -0.5a.

$$80-0.5a\leq 50$$

Subtract 80 from both sides.

$$-0.5a\leq 50-80$$

Subtract 80 from 50 to get -30.

$$-0.5a\leq -30$$

Divide both sides by -0.5. Since -0.5 is negative, the inequality direction is changed.

$$a\geq \frac{-30}{-0.5}$$

Expand \frac{-30}{-0.5} by multiplying both numerator and the denominator by 10.

$$a\geq \frac{-300}{-5}$$

Divide -300 by -5 to get 60.

$$a\geq 60$$