Solve 42a+56(70-a)leq2500

$$42 a + 56 ( 70 - a ) \leq 2500$$

Solve for a

$$a\geq \frac{710}{7}$$

Solution Steps

Use the distributive property to multiply 56 by 70-a.

$$42a+3920-56a\leq 2500$$

Combine 42a and -56a to get -14a.

$$-14a+3920\leq 2500$$

Subtract 3920 from both sides.

$$-14a\leq 2500-3920$$

Subtract 3920 from 2500 to get -1420.

$$-14a\leq -1420$$

Divide both sides by -14. Since -14 is negative, the inequality direction is changed.

$$a\geq \frac{-1420}{-14}$$

Reduce the fraction \frac{-1420}{-14} to lowest terms by extracting and canceling out -2.

$$a\geq \frac{710}{7}$$