Solve 3m+2.5(2600-m)leq7000

$$3 m + 2.5 ( 2600 - m ) \leq 7000$$

Solve for m

$$m\leq 1000$$

Solution Steps

Use the distributive property to multiply 2.5 by 2600-m.

$$3m+6500-2.5m\leq 7000$$

Combine 3m and -2.5m to get 0.5m.

$$0.5m+6500\leq 7000$$

Subtract 6500 from both sides.

$$0.5m\leq 7000-6500$$

Subtract 6500 from 7000 to get 500.

$$0.5m\leq 500$$

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

$$m\leq \frac{500}{0.5}$$

Expand \frac{500}{0.5} by multiplying both numerator and the denominator by 10.

$$m\leq \frac{5000}{5}$$

Divide 5000 by 5 to get 1000.

$$m\leq 1000$$