Solve (225-185)*20*0.8+(225*0.1x-185)*20*0.2>440

$$(225-185) \times 20 \times 0.8+(225 \times 0.1x-185) \times 20 \times 0.2 > 440$$

Solve for x

$$x>6$$

Solution Steps

Subtract 185 from 225 to get 40.

$$40\times 20\times 0.8+\left(225\times 0.1x-185\right)\times 20\times 0.2>440$$

Multiply 40 and 20 to get 800.

$$800\times 0.8+\left(225\times 0.1x-185\right)\times 20\times 0.2>440$$

Multiply 800 and 0.8 to get 640.

$$640+\left(225\times 0.1x-185\right)\times 20\times 0.2>440$$

Multiply 225 and 0.1 to get 22.5.

$$640+\left(22.5x-185\right)\times 20\times 0.2>440$$

Multiply 20 and 0.2 to get 4.

$$640+\left(22.5x-185\right)\times 4>440$$

Use the distributive property to multiply 22.5x-185 by 4.

$$640+90x-740>440$$

Subtract 740 from 640 to get -100.

$$-100+90x>440$$

Add 100 to both sides.

$$90x>440+100$$

Add 440 and 100 to get 540.

$$90x>540$$

Divide both sides by 90. Since 90 is positive, the inequality direction remains the same.

$$x>\frac{540}{90}$$

Divide 540 by 90 to get 6.

$$x>6$$