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A pet store has 17 rabbits. They have 5 fewer cats than rabbits. Write and solve an equation to find how many rabbits and cats the store has altogether show your work

Respuesta :

Let R be the number of rabbits and C the number of cats. Since the pet store has 17 rabbits, then:

[tex]R=17[/tex]

Then, the store have 5 fewer cats than rabbits. We can write this as:

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

Since R=17, we have:

[tex]\begin{gathered} R=17 \\ C=R-5 \\ \Rightarrow C=17-5=12 \\ C=12 \end{gathered}[/tex]

Then there are 12 cats in the store. Finally, in total we have:

[tex]R+C=17+12=29[/tex]

Therefore, there are 12 cats and 17 rabbits, making 29 altogether

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