Solving the Equation: 1/3 of x of 50 is equal to 5 of 200
Problem Statement
We are given an equation:
(1/3) × x × 50 = 5 × 200
Our task is to solve for x.
Breaking Down the Equation
Let's break down the equation into its constituent parts:
- (1/3) × x × 50 represents one-third of x multiplied by 50.
- 5 × 200 represents 5 times 200.
Simplifying the Equation
First, let's multiply 5 and 200:
5 × 200 = 1000
So, the equation becomes:
(1/3) × x × 50 = 1000
Solving for x
To solve for x, we need to get rid of the fraction and the multiplication by 50. Let's multiply both sides of the equation by 3 to eliminate the fraction:
x × 50 = 3000
Next, let's divide both sides by 50 to solve for x:
x = 3000 ÷ 50 x = 60
Therefore, the value of x is 60.
