Equal Column Distribution: Finding the Number of Balls per Column in a Grid

Division with Equal Distribution

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Divide so that each column has an equal number of balls
00:04 We'll transfer according to the diagram one by one
00:29 Now let's solve mathematically, using average
00:37 We'll sum up all the balls, and divide by the number of columns
00:56 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Count the total number of balls from the visual.
  • Step 2: Determine the number of columns that the balls need to be distributed among.
  • Step 3: Divide the total number of balls by the number of columns to find how many each column will contain.

Now, let's work through each step:

Step 1: From the visual, we count that there are 24 balls in total.

Step 2: The number of columns in the grid is 4.

Step 3: Using the formula Number of balls per column=Total number of ballsNumber of columns\text{Number of balls per column} = \frac{\text{Total number of balls}}{\text{Number of columns}}, we calculate:

Number of balls per column=244=6\text{Number of balls per column} = \frac{24}{4} = 6

Therefore, each column will contain 6 balls.

3

Final Answer

6

Key Points to Remember

Essential concepts to master this topic
  • Count First: Always count total items before attempting any division
  • Formula: Items per group = Total items ÷ Number of groups (24 ÷ 4 = 6)
  • Verify: Multiply answer by groups to check: 6 × 4 = 24 total items ✓

Common Mistakes

Avoid these frequent errors
  • Miscounting the total number of balls
    Don't rush through counting or skip balls = wrong total used in division! Missing even one ball throws off your entire calculation. Always count systematically, row by row or column by column, to ensure accuracy.

Practice Quiz

Test your knowledge with interactive questions

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?

FAQ

Everything you need to know about this question

How should I count the balls to avoid mistakes?

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Count systematically! Go row by row or use a pattern. In this grid, you can count each row (6 balls per row × 4 rows = 24) or count each existing column and add them up.

What if the division doesn't come out evenly?

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The problem states the balls are divided so each column has an equal number, so it must divide evenly! If your division has a remainder, recheck your counting.

Do I need to physically move the balls?

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No! This is a math problem about calculating equal distribution. You just need to find how many balls each column will contain using division.

How do I know I have the right number of columns?

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Look at the grid lines in the image. Count the vertical sections - there are 4 columns total where the balls need to be distributed equally.

Can I solve this without using division?

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You could use repeated subtraction or grouping, but division is the most efficient method: Total ballsNumber of columns \frac{\text{Total balls}}{\text{Number of columns}}

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