Answer :
We are told that Joe originally had [tex]$57$[/tex] baseball cards and ended up with [tex]$75$[/tex] cards after John gave him some. Let [tex]$n$[/tex] be the number of baseball cards John gave to Joe. This situation can be modeled by the equation:
[tex]$$57 + n = 75.$$[/tex]
To determine [tex]$n$[/tex], we subtract [tex]$57$[/tex] from [tex]$75$[/tex]:
[tex]$$n = 75 - 57.$$[/tex]
This means Joe received [tex]$18$[/tex] cards because:
[tex]$$75 - 57 = 18.$$[/tex]
We can represent this situation with the two equivalent equations:
1. [tex]$$57 + n = 75,$$[/tex]
2. [tex]$$75 - 57 = n.$$[/tex]
Thus, the two equations that represent the problem correctly are:
- Option B: [tex]$$75 - 57 = n,$$[/tex]
- Option C: [tex]$$57 + n = 75.$$[/tex]
[tex]$$57 + n = 75.$$[/tex]
To determine [tex]$n$[/tex], we subtract [tex]$57$[/tex] from [tex]$75$[/tex]:
[tex]$$n = 75 - 57.$$[/tex]
This means Joe received [tex]$18$[/tex] cards because:
[tex]$$75 - 57 = 18.$$[/tex]
We can represent this situation with the two equivalent equations:
1. [tex]$$57 + n = 75,$$[/tex]
2. [tex]$$75 - 57 = n.$$[/tex]
Thus, the two equations that represent the problem correctly are:
- Option B: [tex]$$75 - 57 = n,$$[/tex]
- Option C: [tex]$$57 + n = 75.$$[/tex]
