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An animal shelter spends $3.00 per day to care for each cat and $5.00 per day to care for each dog. Penelope noticed that the shelter spent $69.00 caring for cats and dogs on Tuesday. Penelope found a record showing that there were a total of 17 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday?

 Mar 20, 2020
 #1
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Let the  number  of cats  = x

Then the number of dogs  = 17  - x

 

And we have this

 

cost of care per cat * number  +  cost of care per dog * number  = total revenue

 

       3x       +   5 (17 - x)  =   69      simplify

 

       3x  + 85  -  5x   =  69

 

       -2x  + 85   =  69             subtract 85 from both sides

 

        -2x =   -16               divide both sides by - 2

 

          x =   8    (cats) 

 

 

cool cool cool

 Mar 20, 2020

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