Answer :
Sure, let's solve this problem step by step:
1. Understanding the problem:
- We know that John has $50 more than Mary.
- John's amount of money is represented as \(X\).
2. Representation of Mary's amount of money:
- Let's denote John's amount of money by \(X\).
- Since John has [tex]$50 more than Mary, to find the amount Mary has, we need to subtract $[/tex]50 from John's amount.
- Therefore, if John has \(X\) dollars, Mary would have \(X - 50\) dollars.
3. Evaluating the given options:
- A) \(X + 50\): This implies Mary has $50 more than John, which is incorrect.
- B) \(X - 50\): This implies Mary has $50 less than John, which is correct.
- C) \(50 - X\): This would only make sense if \(X\) represented Mary's money instead of John's, which is not the case.
- D) \(50 \cdot X\): This implies a multiplication relationship, which is not relevant here.
Considering the above evaluation, the correct representation of Mary's amount of money in terms of \(X\) is:
[tex]\[ \boxed{B) \ X - 50} \][/tex]
1. Understanding the problem:
- We know that John has $50 more than Mary.
- John's amount of money is represented as \(X\).
2. Representation of Mary's amount of money:
- Let's denote John's amount of money by \(X\).
- Since John has [tex]$50 more than Mary, to find the amount Mary has, we need to subtract $[/tex]50 from John's amount.
- Therefore, if John has \(X\) dollars, Mary would have \(X - 50\) dollars.
3. Evaluating the given options:
- A) \(X + 50\): This implies Mary has $50 more than John, which is incorrect.
- B) \(X - 50\): This implies Mary has $50 less than John, which is correct.
- C) \(50 - X\): This would only make sense if \(X\) represented Mary's money instead of John's, which is not the case.
- D) \(50 \cdot X\): This implies a multiplication relationship, which is not relevant here.
Considering the above evaluation, the correct representation of Mary's amount of money in terms of \(X\) is:
[tex]\[ \boxed{B) \ X - 50} \][/tex]
