Solve (50-60)/(80-60)*(4000-5000)+500

$$( 50 - 60 ) / ( 80 - 60 ) \times ( 4000 - 5000 ) + 500$$

Evaluate

$$1000$$

Solution Steps

Subtract 60 from 50 to get -10.

$$\frac{-10}{80-60}\left(4000-5000\right)+500$$

Subtract 60 from 80 to get 20.

$$\frac{-10}{20}\left(4000-5000\right)+500$$

Reduce the fraction \frac{-10}{20} to lowest terms by extracting and canceling out 10.

$$-\frac{1}{2}\left(4000-5000\right)+500$$

Subtract 5000 from 4000 to get -1000.

$$-\frac{1}{2}\left(-1000\right)+500$$

Express -\frac{1}{2}\left(-1000\right) as a single fraction.

$$\frac{-\left(-1000\right)}{2}+500$$

Multiply -1 and -1000 to get 1000.

$$\frac{1000}{2}+500$$

Divide 1000 by 2 to get 500.

$$500+500$$

Add 500 and 500 to get 1000.

$$1000$$

Factor

$$2^{3}\times 5^{3}$$