## An animal shelter spends $2.50 per day to care for each cat and $4.00 per day to care for each dog. Camden noticed that the shelter spent $1

Question

An animal shelter spends $2.50 per day to care for each cat and $4.00 per day to care for each dog. Camden noticed that the shelter spent $100.50 caring for cats and dogs on Thursday. Camden found a record showing that there were a total of 30 cats and dogs on Thursday. How many cats were at the shelter on Thursday?

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Math
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2022-01-06T07:21:13+00:00
2022-01-06T07:21:13+00:00 1 Answer
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## Answers ( )

Answer: 13 cats were at the shelter on Thursday.

Step-by-step explanation:

Let x represent the number of cats that were at the shelter on Thursday.

Let y represent the number of dogs that were at the shelter on Thursday.

Camden found a record showing that there were a total of 30 cats and dogs on Thursday. This means that

x + y = 30

The animal shelter spends $2.50 per day to care for each cat and $4.00 per day to care for each dog. Camden noticed that the shelter spent $100.50 caring for cats and dogs on Thursday. This means that

2.5x + 4y = 100.5 – – – – – – – – – – – – 1

Substituting x = 30 – y into equation 1, it becomes

2.5(30 – y) + 4y = 100.5

75 – 2.5y + 4y = 100.5

– 2.5y + 4y = 100.5 – 75

1.5y = 25.5

y = 25.5/1.5

y = 17

x = 30 – y = 30 – 17

x = 13