SOLUTION: An animal shelter spends $1.00 per day to care for each cat and $5.00 per day to care for each dog. Samantha noticed that the shelter spent $128.00 caring for cats and dogs on Thur

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An animal shelter spends $1.00 per day to care for each cat and $5.00 per day to care for each dog. Samantha noticed that the shelter spent $128.00 caring for cats and dogs on Thur      Log On


   

Question 1008149: An animal shelter spends $1.00 per day to care for each cat and $5.00 per day to care for each dog. Samantha noticed that the shelter spent $128.00 caring for cats and dogs on Thursday. Samantha found a record showing that there were a total of 32 cats and dogs on Thursday. How many cats were at the shelter on Thursday?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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C=number of cats; D=number of dogs
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C+D=32
D=32-C
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$1C+$5D=$128
$1C+$5(32-C)=$128
$1C+$160-$5C=$128
-4$C=-$32
C=8
ANSWER: There were 8 cats
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CHECK:
D=32-C=32-8=24
There were 24 dogs.
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$1C+$5D=$128
$1(8)+$5(24)=$128
$8+$120=$128
$128=$128