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Ken needs to buy 100 nails. He buys 25 nails at one store and 36 nails at another store. How many more nails does Ken need to buy?

Which equations can be used to solve the problem?

A. [tex]100 - 36 = 64[/tex] and [tex]64 + 25 = 89[/tex]

B. [tex]100 - 25 = 75[/tex] and [tex]36 - 25 = 9[/tex]

C. [tex]36 - 25 = 9[/tex] and [tex]100 - 9 = 91[/tex]

D. [tex]25 + 36 = 61[/tex] and [tex]100 - 61 = 39[/tex]

Answer :

Sure! Let's solve the problem step-by-step:

1. Understanding the Problem:
Ken needs to buy a total of 100 nails. He purchases nails from two different stores: 25 nails from the first store and 36 nails from the second store. We need to find out how many more nails Ken still needs to buy.

2. Calculate the Total Number of Nails Ken Has Bought:
- From the first store, he bought 25 nails.
- From the second store, he bought 36 nails.
- Add these together to find out how many nails Ken has bought so far:
[tex]\[
25 + 36 = 61
\][/tex]
So, Ken has purchased a total of 61 nails.

3. Determine How Many More Nails Ken Needs:
- Ken needs a total of 100 nails.
- Subtract the number of nails he has already bought (61) from 100 to find out how many more he needs:
[tex]\[
100 - 61 = 39
\][/tex]
Thus, Ken needs to buy 39 more nails.

4. Conclusion:
- The correct set of equations that represents this problem is:
- [tex]\(25 + 36 = 61\)[/tex] (Total number of nails bought so far)
- [tex]\(100 - 61 = 39\)[/tex] (Number of nails still needed)

Answer: Therefore, the correct choice is (D) [tex]\(25 + 36 = 61\)[/tex] and [tex]\(100 - 61 = 39\)[/tex]. Ken needs to buy 39 more nails.

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Rewritten by : Barada