23 Divided by What Equals 71?

Accepted Solution

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We often encounter problems in mathematics where we need to find an unknown quantity. Essentially, these questions involve a missing variable that we need to solve. One of the common problems is in the form of a division quotation like "23 divided by what equals 71?". In this scenario, the "what" represents an unknown variable, often labelled as "x" in mathematics. So, the problem can be reframed as "What is the value of 'x' such that when 23 is divided by it, the result is 71?"

Let's break it down:

Step 1: Set the equation

To accurately represent this problem in the form of an equation, we would write it as:

\[ \frac{23}{x} = 71 \]

The objective of any such problem is to isolate and solve for the variable, in this case, x. The common approach to doing this involves manipulating the equation such that the variable (x) stands alone on one side.

Step 2: Isolate the variable

To do this, we multiply both sides of the equation by x:

\[ 23 = 71 * x \]

Then we isolate x on the right side by dividing by 71:

\[ \frac{23}{71} = x \]

With this, we can solve for x. If needed, we'll round off to three decimal places.

The solution to our equation is therefore:

\[ x = 0.324 \]

Understanding and solving such division problems will give you a solid foundation in numerical analysis. You can try the following problems for practice:

  • What divided by 50 equals 25?
  • 19 divided by what equals 38?
  • What is 13/20 divided by 34?
  • What is 14/9 divided by 4/15?
  • What is 14 divided by 8/17?