Question

Match the percent problem with the equation that represents it. 39 is \(50 \%\) of what number?

Short answer

The unknown number is 78.

Step-by-step solution

Understanding the Problem

The problem is asking '39 is 50% of what number'. This can be translated into an equation using the definition of percent. 'Percent' means 'per hundred', so 50% can be written as 0.50 in decimal form.

Set up the equation

39 is 50% of the unknown number. We can represent this as an equation: \(0.50 \times X = 39\), where X is the unknown number we are trying to find.

Solve the equation

We solve for X by dividing both sides of the equation by 0.50 to isolate X: \(X = \frac{39}{0.50}\)

Calculate the Value of X

The division gives us: \(X = \frac{39}{0.50} = 78\)