Solve 47y+12(20-y)geq2800

$$47 y + 12 ( 20 - y ) \geq 2800$$

Solve for y

$$y\geq \frac{512}{7}$$

Solution Steps

Use the distributive property to multiply 12 by 20-y.

$$47y+240-12y\geq 2800$$

Combine 47y and -12y to get 35y.

$$35y+240\geq 2800$$

Subtract 240 from both sides.

$$35y\geq 2800-240$$

Subtract 240 from 2800 to get 2560.

$$35y\geq 2560$$

Divide both sides by 35. Since 35 is positive, the inequality direction remains the same.

$$y\geq \frac{2560}{35}$$

Reduce the fraction \frac{2560}{35} to lowest terms by extracting and canceling out 5.

$$y\geq \frac{512}{7}$$