Solve 1.28x+1.12(80-x)leq95

$$1.28 x + 1.12 ( 80 - x ) \leq 95$$

Solve for x

$$x\leq 33.75$$

Solution Steps

Use the distributive property to multiply 1.12 by 80-x.

$$1.28x+89.6-1.12x\leq 95$$

Combine 1.28x and -1.12x to get 0.16x.

$$0.16x+89.6\leq 95$$

Subtract 89.6 from both sides.

$$0.16x\leq 95-89.6$$

Subtract 89.6 from 95 to get 5.4.

$$0.16x\leq 5.4$$

Divide both sides by 0.16. Since 0.16 is positive, the inequality direction remains the same.

$$x\leq \frac{5.4}{0.16}$$

Expand \frac{5.4}{0.16} by multiplying both numerator and the denominator by 100.

$$x\leq \frac{540}{16}$$

Reduce the fraction \frac{540}{16} to lowest terms by extracting and canceling out 4.

$$x\leq \frac{135}{4}$$