Calculate Remainder: 35 Rings in a 2×10 Jewelry Box

Division Remainders with Real-World Context

Ronnie has 35 rings and wants to put them in his jewelry box.

The box has 2 rows and each row has room for ten rings.

If he fills the jewelry box, how many rings will be left out?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Ronnie has 35 rings and wants to put them in his jewelry box.

The box has 2 rows and each row has room for ten rings.

If he fills the jewelry box, how many rings will be left out?

2

Step-by-step solution

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

  • Step 1: Identify the given information
  • Step 2: Calculate the total capacity of the jewelry box
  • Step 3: Determine how many rings will be left out

Now, let's work through each step:

Step 1: The problem gives us 35 rings. The jewelry box has 2 rows, and each row can hold 10 rings.

Step 2: We'll calculate the total capacity of the jewelry box:

The capacity of one row is 10 10 rings. Since there are 2 rows, the total capacity is 2×10=20 2 \times 10 = 20 rings.

Step 3: To find out how many rings will be left out after filling the box, subtract the box's total capacity from the total number of rings:

3520=15 35 - 20 = 15

Therefore, the number of rings that will be left out is 15 15 .

3

Final Answer

15 15

Key Points to Remember

Essential concepts to master this topic
  • Capacity Rule: Multiply rows by items per row to find total capacity
  • Technique: Calculate 2×10=20 2 \times 10 = 20 total spaces available
  • Check: Verify 20+15=35 20 + 15 = 35 original rings ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of multiplying to find capacity
    Don't add 2 + 10 = 12 capacity! This completely ignores that each row holds 10 rings, giving a capacity way too small. Always multiply rows × items per row to find total storage space.

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

Why do I multiply 2 × 10 instead of adding them?

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Because you have 2 groups with 10 items each! Think of it like having 2 boxes with 10 cookies in each box - you'd have 2 × 10 = 20 total cookies, not 2 + 10 = 12.

What if the jewelry box wasn't completely full?

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The problem asks how many rings are left out, which means Ronnie fills the box completely first. With 35 rings and only 20 spaces, he must leave some rings out!

How do I know I subtracted in the right order?

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Always subtract capacity from total items: 3520=15 35 - 20 = 15 . If you did 2035 20 - 35 , you'd get a negative number, which doesn't make sense for leftover rings!

Could this problem be solved with division?

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Yes! You could think of it as 35÷20=1 35 ÷ 20 = 1 remainder 15 15 . The remainder tells you exactly how many rings won't fit in the box.

What if I forgot to calculate the total capacity first?

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Without knowing the box holds 20 total rings, you can't solve the problem! Always find the total capacity by multiplying rows × rings per row before finding what's left over.

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