What is the answer to (100*x)/(100+x)=40 ?

The answer to (100*x)/(100+x)=40 is x= 200/3

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(100*x)/(100+x)=40

\frac{100 \cdot x}{100 + x} = 40

x = \frac{200}{3}

Decimal Notation

x = 66.66666 \dots

Solution steps

\frac{100 x}{100 + x} = 40

Multiply both sides by

100 + x

100 x = 40 (100 + x)

Expand

40 (100 + x) : 4000 + 40 x

100 x = 4000 + 40 x

Move

40 x

to the left side

60 x = 4000

Divide both sides by

60

x = \frac{200}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 100

Combine undefined points with solutions:

x = \frac{200}{3}

\frac{1350}{x} = 0.16

\frac{x - 2}{x - 3} = 0

\frac{8}{x} = \frac{32}{20}

f^{- 1} (0.5) = 1.4 \cdot 0. 8^{0.5}

\frac{4}{9} = \frac{12}{x}

What is the answer to (100*x)/(100+x)=40 ?
The answer to (100*x)/(100+x)=40 is x= 200/3
Solve for x: (100*x)/(100+x)=40
The solution is x= 200/3