## An animal shelter spends $2.00 per day to care for each cat and $6.50 per day to care for each dog. Amelia noticed that the shelter spent $3

Question

An animal shelter spends $2.00 per day to care for each cat and $6.50 per day to care for each dog. Amelia noticed that the shelter spent $30.00 caring for cats and dogs on Friday. Amelia found a record showing that there were a total of 6 cats and dogs on Friday. How many cats were at the shelter on Friday?

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Math
7 days
2021-10-11T11:31:34+00:00
2021-10-11T11:31:34+00:00 1 Answer
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## Answers ( )

Answer:the were 2 cats at the shelter on Friday.

Step-by-step explanation:

Let x represent the number of cats at the shelter on Friday.

Let y represent the number of dogs at the shelter on Friday.

Amelia found a record showing that there were a total of 6 cats and dogs on Friday. This means that

x + y = 6

An animal shelter spends $2.00 per day to care for each cat and $6.50 per day to care for each dog. Amelia noticed that the shelter spent $30.00 caring for cats and dogs on Friday. This means that

2x + 6.5y = 30- – – – – – – – – – – – -1

Substituting x = 6 – y into equation 1, it becomes

2(6 – y) + 6.5y = 30

12 – 2y + 6.5y = 30

– 2y + 6.5y = 30 – 12

4.5y = 18

y = 18/4.5

y = 4

x = 6 – y = 6 – 4

x = 2