What is the answer to 82000=((42000p)/(100-p)) ?

The answer to 82000=((42000p)/(100-p)) is p= 2050/31

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82000=((42000p)/(100-p))

82000 = (\frac{42000 p}{100 - p})

p = \frac{2050}{31}

Decimal Notation

p = 66.12903 \dots

Solution steps

82000 = (\frac{42000 p}{100 - p})

Simplify

(\frac{42000 p}{100 - p}) : \frac{42000 p}{100 - p}

82000 = \frac{42000 p}{100 - p}

Multiply both sides by

100 - p

82000 (100 - p) = 42000 p

Expand

82000 (100 - p) : 8200000 - 82000 p

8200000 - 82000 p = 42000 p

Move

8200000

to the right side

- 82000 p = 42000 p - 8200000

Move

42000 p

to the left side

- 124000 p = - 8200000

Divide both sides by

- 124000

p = \frac{2050}{31}

Verify Solutions

Find undefined (singularity) points:

p = 100

Combine undefined points with solutions:

p = \frac{2050}{31}

z + \frac{36}{z + 3} = 9

\frac{x - 4}{x + 9} = \frac{7}{6}

4 x^{- 2} + 9 x^{- 1} + 2 = 0

\frac{20}{x} = 5

\frac{x - 1}{x + 1} = 2

What is the answer to 82000=((42000p)/(100-p)) ?
The answer to 82000=((42000p)/(100-p)) is p= 2050/31
Solve for p: 82000=((42000p)/(100-p))
The solution is p= 2050/31