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Joe has 69 baseball cards in his collection. He will receive more baseball cards on his birthday, but he doesn't know how many.

If he receives [tex]$C$[/tex] baseball cards on his birthday, which of the following expressions represents the number of baseball cards in Joe's collection after his birthday?

A. [tex]$69 \times C$[/tex]

B. [tex]$69 - C$[/tex]

C. [tex]$69 + C$[/tex]

D. [tex]$69 \div C$[/tex]

Answer :

To solve this problem, we need to determine which expression correctly represents the total number of baseball cards Joe has after his birthday.

1. Understanding the Problem:
- Joe currently has 69 baseball cards.
- On his birthday, he will receive an additional number of baseball cards. This unknown quantity of new cards is represented by [tex]\( C \)[/tex].

2. Determining the Total After Receiving New Cards:
- To find the total number of baseball cards Joe will have after receiving the new cards on his birthday, you simply add the number of new cards [tex]\( C \)[/tex] to the number of cards he currently has.
- The operation needed here is addition, as we are combining the current collection with the new cards received.

3. Expression for Total Number of Cards:
- We combine the 69 baseball cards Joe already has with the [tex]\( C \)[/tex] cards he will receive. This can be written as:

[tex]\[ \text{Total cards} = 69 + C \][/tex]

4. Conclusion:
- The expression that correctly represents the total number of baseball cards Joe will have after his birthday is [tex]\( 69 + C \)[/tex].

Therefore, the correct answer is:
C. [tex]\( 69 + C \)[/tex].

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