Solve for Missing Value: 37 - 30 Bracelets Word Problem

Subtraction Word Problems with Total Remaining

Maya has 20 bracelets and Rachel has 17 bracelets. They decide to give some of their bracelets to their friend Danielle. If they still have 30 bracelets collectively, how many bracelets did they give to Danielle?

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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 give some of their bracelets to their friend Danielle. If they still have 30 bracelets collectively, how many bracelets did they give to Danielle?

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Calculate the original number of bracelets that Maya and Rachel have together. Maya has 20 bracelets, and Rachel has 17, so initially, they have 20+17=37 20 + 17 = 37 bracelets.
  • Step 2: Determine how many bracelets they have after giving some to Danielle. Together, they now have 30 bracelets.
  • Step 3: Calculate the number of bracelets given to Danielle by finding the difference between the original total and the current total. This is given by 3730 37 - 30 .

Now, let's compute:

Initially, Maya and Rachel collectively had 37 37 bracelets. After giving some to Danielle, they have 30 30 bracelets. Therefore, the number of bracelets they gave to Danielle is 3730=7 37 - 30 = 7 .

The correct answer is 7\mathbf{7} bracelets.

Thus, the correct choice from the provided options is Choice 4: 7 7 .

3

Final Answer

7 7

Key Points to Remember

Essential concepts to master this topic
  • Initial Total: Add all starting amounts to find the beginning quantity
  • Technique: Subtract final amount from initial total: 3730=7 37 - 30 = 7
  • Check: Starting total minus given away equals remaining: 377=30 37 - 7 = 30

Common Mistakes

Avoid these frequent errors
  • Subtracting individual amounts instead of finding total first
    Don't subtract Maya's 20 and Rachel's 17 from 30 separately = wrong calculation! This ignores that they had a combined total initially. Always find the initial total first, then subtract the final total.

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 add Maya's and Rachel's bracelets together first?

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You need to find their combined starting amount because they gave bracelets away together as a team. Think of it as one big collection: 20+17=37 20 + 17 = 37 total bracelets.

What if the problem asked how many they have left instead?

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The problem already tells you they have 30 left! When a word problem gives you the final amount, you work backwards to find what was taken away.

How do I know whether to add or subtract?

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Look for key words: "give away" or "still have" means subtraction. You're finding the difference between what they started with and what they have now.

Can I solve this a different way?

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Yes! You could think: Starting amount - Given away = Remaining, so 37?=30 37 - ? = 30 . What number makes this true? 377=30 37 - 7 = 30 !

What if my answer doesn't match any of the choices?

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Double-check your arithmetic! Make sure you added the starting amounts correctly (20+17=37 20 + 17 = 37 ) and subtracted properly (3730=7 37 - 30 = 7 ).

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