Equal Column Distribution: Arranging Red Balls in a Grid Problem

Question

If the balls below are divided so that each column in the table contains an equal number, then how many balls will there be in each column?

Video Solution

Solution Steps

00:00 Divide so that each column has an equal number of balls
00:04 We'll transfer one by one according to the diagram
00:32 Now we'll solve mathematically, using average
00:36 We'll sum up all the balls, and divide by the number of columns
00:58 And this is the solution to the question

Step-by-Step Solution

Let's solve this problem step-by-step:

  • Step 1: Count the balls.
    In the provided diagram, we need to count each ball shown to obtain the total number.
  • Step 2: Determine the number of columns.
    The table's columns are evenly spaced, and there appears to be 4 columns depicted.
  • Step 3: Calculate the number of balls per column.
    Divide the total number of balls by the number of columns.

Step 1: Count the balls.

There are 20 balls depicted in the diagram.

Step 2: Determine the number of columns.

There are 4 columns in the table based on the grid lines visible in the diagram.

Step 3: Perform the division.

The formula to find the number of balls per column is: total number of ballsnumber of columns=204=5\frac{\text{total number of balls}}{\text{number of columns}} = \frac{20}{4} = 5.

Thus, there will be 5 balls in each column.

Answer

5