Solve 100*50/300=50x/116

$$\frac { 100 \times 50 } { 300 } = \frac { 50 x } { 116 }$$

Solve for x

$$x = \frac{116}{3} = 38\frac{2}{3} \approx 38.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8700, the least common multiple of 300,116.

$$29\times 100\times 50=75\times 50x$$

Multiply 29 and 100 to get 2900.

$$2900\times 50=75\times 50x$$

Multiply 2900 and 50 to get 145000.

$$145000=75\times 50x$$

Multiply 75 and 50 to get 3750.

$$145000=3750x$$

Swap sides so that all variable terms are on the left hand side.

$$3750x=145000$$

Divide both sides by 3750.

$$x=\frac{145000}{3750}$$

Reduce the fraction \frac{145000}{3750} to lowest terms by extracting and canceling out 1250.

$$x=\frac{116}{3}$$