Solve {l}{A/B=C/D}{A=10}{B=100}{D=250}

$$\left. \begin{array} { l } { \frac { A } { B } = \frac { C } { D } } \\ { A = 10 } \\ { B = 100 } \\ { D = 250 } \end{array} \right.$$

Solve for A, B, C, D

$$A=10$$

$$B=100$$

$$C=25$$

$$D=250$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$\frac{10}{100}=\frac{C}{250}$$

Multiply both sides of the equation by 500, the least common multiple of 100,250.

$$5\times 10=2C$$

Multiply 5 and 10 to get 50.

$$50=2C$$

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

$$2C=50$$

Divide both sides by 2.

$$C=\frac{50}{2}$$

Divide 50 by 2 to get 25.

$$C=25$$

The system is now solved.

$$A=10 B=100 C=25 D=250$$