Solve 80:x=100:(2760-x)

$$80 : x = 100 : ( 2760 - x )$$

Solve for x

$$x = \frac{3680}{3} = 1226\frac{2}{3} \approx 1226.666666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,2760 since division by zero is not defined. Multiply both sides of the equation by x\left(x-2760\right), the least common multiple of x,2760-x.

$$\left(x-2760\right)\times 80=-x\times 100$$

Use the distributive property to multiply x-2760 by 80.

$$80x-220800=-x\times 100$$

Multiply -1 and 100 to get -100.

$$80x-220800=-100x$$

Add 100x to both sides.

$$80x-220800+100x=0$$

Combine 80x and 100x to get 180x.

$$180x-220800=0$$

Add 220800 to both sides. Anything plus zero gives itself.

$$180x=220800$$

Divide both sides by 180.

$$x=\frac{220800}{180}$$

Reduce the fraction \frac{220800}{180} to lowest terms by extracting and canceling out 60.

$$x=\frac{3680}{3}$$