2575/500 = 2425/x, Solve for x

Solve 2575/500 = 2425/x

How to solve 2575/500 = 2425/x? Get the answer and stepwise instruction to solve linear equation in one variable 𝒙.

We have 2575/500 = 2425/x

Cross multiplying the ratios, gives

2575x = 500 × 2425

Divide both sides by 2575, which is the coefficient of x
Note: if a = b, then a ÷ c = b ÷ c

Therefore, 2575x/2575 = 500 × 2425/2575

x = 1212500/2575

To simplify, divide both numerator and denominator by 25, which is the GCF of 1212500 and 2575:

x = 48500/103 or, x = 470.87