Solve 3.2a+2.7(25-a)leq50

$$3.2 a + 2.7 ( 25 - a ) \leq 50$$

Solve for a

$$a\leq -35$$

Solution Steps

Use the distributive property to multiply 2.7 by 25-a.

$$3.2a+67.5-2.7a\leq 50$$

Combine 3.2a and -2.7a to get 0.5a.

$$0.5a+67.5\leq 50$$

Subtract 67.5 from both sides.

$$0.5a\leq 50-67.5$$

Subtract 67.5 from 50 to get -17.5.

$$0.5a\leq -17.5$$

Divide both sides by 0.5. Since 0.5 is positive, the inequality direction remains the same.

$$a\leq \frac{-17.5}{0.5}$$

Expand \frac{-17.5}{0.5} by multiplying both numerator and the denominator by 10.

$$a\leq \frac{-175}{5}$$

Divide -175 by 5 to get -35.

$$a\leq -35$$