What is the answer to (75k)/(75k+50)*100=24 ?

The answer to (75k)/(75k+50)*100=24 is k= 4/19

Popular >

(75k)/(75k+50)*100=24

\frac{75 k}{75 k + 50} \cdot 100 = 24

k = \frac{4}{19}

Decimal Notation

k = 0.21052 \dots

Solution steps

\frac{75 k}{75 k + 50} \cdot 100 = 24

Simplify

\frac{75 k}{75 k + 50} \cdot 100 : \frac{300 k}{3 k + 2}

\frac{300 k}{3 k + 2} = 24

Multiply both sides by

3 k + 2

300 k = 24 (3 k + 2)

Expand

24 (3 k + 2) : 72 k + 48

300 k = 72 k + 48

Move

72 k

to the left side

228 k = 48

Divide both sides by

228

k = \frac{4}{19}

Verify Solutions

Find undefined (singularity) points:

k = - \frac{2}{3}

Combine undefined points with solutions:

k = \frac{4}{19}

\frac{24}{x} - \frac{15}{x + 5} = 2

\frac{3}{5} = \frac{3}{5 n} - \frac{1}{5}

\frac{1}{x + 1} + \frac{2 x + 3}{x ^{2} - 1} = 0

- \frac{9}{x ^{2} + 3 x} + \frac{x}{x + 3} = - 1

4 - \frac{8}{x + 1} = \frac{8 x}{x + 1}

What is the answer to (75k)/(75k+50)*100=24 ?
The answer to (75k)/(75k+50)*100=24 is k= 4/19
Solve for k: (75k)/(75k+50)*100=24
The solution is k= 4/19