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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?
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].
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