What number times 4 equals 50?
The Correct Answer and Explanation is :
To solve for the number that, when multiplied by 4, equals 50, we can set up a simple algebraic equation:
[
4x = 50
]
Here, ( x ) represents the unknown number. To find ( x ), we divide both sides of the equation by 4:
[
x = \frac{50}{4} = 12.5
]
Therefore, the number is 12.5.
Explanation
This question involves a basic algebraic equation where we are asked to determine an unknown number that, when multiplied by 4, equals 50. Let’s break down the steps and principles behind this calculation.
- Understanding the Problem: The question can be translated into a mathematical equation: ( 4 \times ? = 50 ). In algebra, we represent unknown values with variables, so here, we assign the variable ( x ) to the unknown number, resulting in the equation ( 4x = 50 ).
- Isolating the Variable: To solve for ( x ), we need to isolate it on one side of the equation. Since 4 is multiplied by ( x ), we do the opposite operation (division) to “undo” the multiplication. Dividing both sides of the equation by 4 keeps the equation balanced and gives: [
x = \frac{50}{4}
] - Performing the Calculation: Dividing 50 by 4 gives 12.5. Thus, ( x = 12.5 ), meaning that 12.5 is the number that, when multiplied by 4, results in 50.
- Verification: To ensure our answer is correct, we can substitute 12.5 back into the original equation to see if it holds true: [
4 \times 12.5 = 50
] This statement is correct, confirming that 12.5 is indeed the solution.
This problem highlights basic principles of algebra, where understanding inverse operations (like division being the inverse of multiplication) is essential for isolating and solving for unknowns.