Jermaine has t 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

Respuesta :

First of all, let's derive all the quantities. We know that Jermaine has [tex] t [/tex] tokes. So, if you have 4 more tokens, it means that you can start from this quantity, and add 4. In formula Karen has


[tex] K = t+4 [/tex]


tokens.


By the same logic, 5 fewer than a certain quantity means to subtract 5 from that quantity, so Raul has


[tex] R = t-5 [/tex]


tokens.


Now we're ready to write the ratio between the two numbers: simply put Karen's tokens [tex] K [/tex] at the numerator and Raul's tokens [tex] R [/tex] at the denominator and substitute [tex] K [/tex] and [tex] R [/tex] with the expressions we just found:


[tex] \frac{K}{R} = \frac{t+4}{t-5} [/tex]


Obviously, since we don't know the value of [tex] t [/tex], we can't say exactly how many tokens anyone has, or computing the ratio numerically, but only express it in terms of [tex] t [/tex].

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