Subtraction Word Problem: Calculate 37 - 7 Shared Bracelets

Two-Step Word Problems with Combined Quantities

Maya has 20 bracelets and Rachel has 17 bracelets. They decide to collectively give 7 bracelets to their friend Danielle. How many do they have left?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Maya has 20 bracelets and Rachel has 17 bracelets. They decide to collectively give 7 bracelets to their friend Danielle. How many do they have left?

2

Step-by-step solution

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

  • Step 1: Identify the total number of bracelets they start with.
  • Step 2: Subtract the number of bracelets given away.

Now, let's work through these steps:

Step 1: Initially, Maya has 20 bracelets and Rachel has 17 bracelets.
We add these two numbers to find the total number of bracelets they have together:

20+17=37 20 + 17 = 37

Step 2: They decide to give 7 bracelets to Danielle.
To find out how many bracelets they have left, we subtract the number of bracelets given to Danielle from the initial total:

377=30 37 - 7 = 30

Therefore, Maya and Rachel together have 30\mathbf{30} bracelets remaining after giving away 7 bracelets to Danielle.

3

Final Answer

30 30

Key Points to Remember

Essential concepts to master this topic
  • Addition First: Find the total by adding both starting amounts
  • Subtraction Second: Remove given amount: 377=30 37 - 7 = 30
  • Check Work: Verify Maya (20) + Rachel (17) - given (7) = 30 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting from individual amounts instead of the total
    Don't subtract 7 from each person separately like 20-7=13 and 17-7=10 for a total of 23! This counts the 7 bracelets twice since they gave away 7 total, not 7 each. Always find the combined total first, then subtract what was given away.

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

Do I subtract 7 from Maya's 20 bracelets or Rachel's 17 bracelets?

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Neither! You subtract from their combined total. Since they gave away 7 bracelets together, you need to find their total first: 20+17=37 20 + 17 = 37 , then subtract: 377=30 37 - 7 = 30 .

What if the problem said each person gave 7 bracelets?

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Then you'd subtract 7 from each person individually! Maya would have 207=13 20 - 7 = 13 and Rachel would have 177=10 17 - 7 = 10 for a total of 23. Always read carefully to see if it's total given or each person gives.

How do I know when to add first or subtract first?

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Look for keywords! 'Together' or 'collectively' means add their amounts first. If they're doing something as a team, combine their quantities before applying any changes.

Can I solve this problem in a different order?

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Yes! You could think: Maya keeps 207=13 20 - 7 = 13 and Rachel keeps all 17, giving 13+17=30 13 + 17 = 30 . But the standard way (add first, then subtract) is usually clearer and less confusing.

What does 'collectively' mean in math problems?

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Collectively means together as a group. When Maya and Rachel collectively give 7 bracelets, it means they gave away 7 total from their combined pile, not 7 each!

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