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ramone takes care of animals. he charges $12 per day for dogs and $5 per day for cats. in one month he earned $108. he took care of 3 times as many cats as dogs. how much of the money ramone earned was from taking care of cats?

ramone takes care of animals he charges 12 per day for dogs and 5 per day for cats in one month he earned 108 he took care of 3 times as many cats as dogs how m class=

Respuesta :

ANSWER:

$60

STEP-BY-STEP EXPLANATION:

In this case we must propose a system of equations to be able to find the answer:

Let x be the number of dogs and y the number of cats, with the statement we propose the following equations

[tex]\begin{gathered} 12x+5y=108 \\ 3x=y\rightarrow x=\frac{y}{3} \end{gathered}[/tex]

we replace and we have:

[tex]\begin{gathered} 12\cdot\frac{y}{3}+5y=108 \\ 4y+5y=108 \\ 9y=108 \\ y=\frac{108}{9} \\ y=12 \end{gathered}[/tex]

Now, knowing that I take care of 12 cats, we can know how much I collect because for each cat he charges $ 5

[tex]12\cdot5=60[/tex]

In total I charge $ 60 with the cats

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