Solve for the Yellow Box: Finding the Missing Number in 68 - □ = 12

Substitution Problems with Shape Variables

If:

=12 \colorbox{yellow}\\=12

Solve the following subtraction problem:

68= 68- \colorbox{yellow}\\=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If:

=12 \colorbox{yellow}\\=12

Solve the following subtraction problem:

68= 68- \colorbox{yellow}\\=

2

Step-by-step solution

To solve this problem, let's follow the steps below:

  • Step 1: Identify the value of the yellow shape.
    According to the problem, the value of the yellow shape is 12 12 .
  • Step 2: Substitute this value into the subtraction expression.
    The expression becomes 6812 68 - 12 .
  • Step 3: Perform the subtraction operation.
    Calculate 6812 68 - 12 as follows:

6812=56 68 - 12 = 56

The steps for subtraction are:
Break down 6812 68 - 12 into simpler components:
Subtract the units: 82=6 8 - 2 = 6
Subtract the tens: 61=5 6 - 1 = 5
Combine the results: 56 56

Therefore, the solution to the problem is 56 56 .

The correct choice from the provided options is 56 \boxed{56} .

3

Final Answer

56 56

Key Points to Remember

Essential concepts to master this topic
  • Variable Recognition: Yellow box represents the number 12 throughout
  • Technique: Replace shape with given value: 68 - 12 = 56
  • Check: Verify by working backwards: 56 + 12 = 68 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing which number to substitute
    Don't substitute 12 where it doesn't belong or ignore the given value = wrong calculation! Students often mix up the shape's value with other numbers in the problem. Always identify what each shape equals first, then carefully substitute only that value.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

What does the yellow box represent?

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The yellow box is like a variable in algebra! The problem tells us it equals 12, so wherever you see the yellow box, replace it with the number 12.

Why do I substitute 12 into the subtraction?

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Because the yellow box represents the number 12. When you see 68  68 - \colorbox{yellow}\ , you're really seeing 6812 68 - 12 .

How do I check if 56 is the right answer?

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Work backwards! If 68 - 12 = 56 is correct, then 56 + 12 should equal 68. Since 56+12=68 56 + 12 = 68 , our answer is right!

What if there were multiple different shapes?

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Each shape would have its own value. For example, if a blue circle = 5 and yellow box = 12, you'd substitute each shape with its specific number.

Is this the same as solving for x?

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Yes! This is practice for algebra. Instead of finding what x equals, you're given what the shape equals and using that information to solve the problem.

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