Solve 100a+120(0-2/3a)leq1400

$$100 a + 120 ( 0 - \frac { 2 } { 3 } a ) \leq 1400$$

Solve for a

$$a\leq 70$$

Solution Steps

Anything plus zero gives itself.

$$100a+120\left(-\frac{2}{3}\right)a\leq 1400$$

Express 120\left(-\frac{2}{3}\right) as a single fraction.

$$100a+\frac{120\left(-2\right)}{3}a\leq 1400$$

Multiply 120 and -2 to get -240.

$$100a+\frac{-240}{3}a\leq 1400$$

Divide -240 by 3 to get -80.

$$100a-80a\leq 1400$$

Combine 100a and -80a to get 20a.

$$20a\leq 1400$$

Divide both sides by 20. Since 20 is positive, the inequality direction remains the same.

$$a\leq \frac{1400}{20}$$

Divide 1400 by 20 to get 70.

$$a\leq 70$$