What is the answer to 24=(175k)/(5k+50) ?

The answer to 24=(175k)/(5k+50) is k= 240/11

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24=(175k)/(5k+50)

24 = \frac{175 k}{5 k + 50}

k = \frac{240}{11}

Decimal Notation

k = 21.81818 \dots

Solution steps

24 = \frac{175 k}{5 k + 50}

Simplify

\frac{175 k}{5 k + 50} : \frac{35 k}{k + 10}

24 = \frac{35 k}{k + 10}

Multiply both sides by

k + 10

24 (k + 10) = 35 k

Expand

24 (k + 10) : 24 k + 240

24 k + 240 = 35 k

Move

240

to the right side

24 k = 35 k - 240

Move

35 k

to the left side

- 11 k = - 240

Divide both sides by

- 11

k = \frac{240}{11}

Verify Solutions

Find undefined (singularity) points:

k = - 10

Combine undefined points with solutions:

k = \frac{240}{11}

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x + \frac{3 x}{x - 1} = \frac{3}{x - 1}

\frac{7}{x + 1} - \frac{1}{2} = \frac{4}{3 x + 3}

What is the answer to 24=(175k)/(5k+50) ?
The answer to 24=(175k)/(5k+50) is k= 240/11
Solve for k: 24=(175k)/(5k+50)
The solution is k= 240/11