Jermaine has [tex]t[/tex] subway tokens. Karen has 4 more subway tokens than Jermaine. Raul has 5 fewer subway tokens than Jermaine.

Which expression represents the ratio of Karen's tokens to Raul's tokens?

A. [tex]\frac{4+t}{5-t}[/tex]

B. [tex]\frac{t+4}{t-5}[/tex]

C. [tex]\frac{t-4}{t-5}[/tex]

D. [tex]\frac{4+t}{5+t}[/tex]



Answer :

Let's break down the problem step by step to arrive at the correct ratio of Karen's tokens to Raul's tokens.

1. Jermaine's Tokens:
Let [tex]\( t \)[/tex] be the number of subway tokens Jermaine has.

2. Karen's Tokens:
Karen has 4 more subway tokens than Jermaine. Therefore, the number of tokens Karen has can be expressed as:
[tex]\[ t + 4 \][/tex]

3. Raul's Tokens:
Raul has 5 fewer subway tokens than Jermaine. Therefore, the number of tokens Raul has can be expressed as:
[tex]\[ t - 5 \][/tex]

4. Ratio of Karen's Tokens to Raul's Tokens:
The ratio of Karen's tokens to Raul's tokens is found by dividing the number of Karen's tokens by the number of Raul's tokens. Thus, the ratio is:
[tex]\[ \frac{\text{Karen's tokens}}{\text{Raul's tokens}} = \frac{t + 4}{t - 5} \][/tex]

Therefore, the expression that represents the ratio of Karen's tokens to Raul's tokens is:

[tex]\[ \boxed{\frac{t+4}{t-5}} \][/tex]

So, the correct choice is [tex]\( \text{B} \)[/tex].