Question

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?

Answer 1

$60

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

`\begin{gathered} 12x+5y=108 \\ 3x=y\rightarrow x=(y)/(3) \end{gathered}`

we replace and we have:

`\begin{gathered} 12\cdot(y)/(3)+5y=108 \\ 4y+5y=108 \\ 9y=108 \\ y=(108)/(9) \\ y=12 \end{gathered}`

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

`12\cdot5=60`

In total I charge $ 60 with the cats