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?

in progress 0
Brielle 7 days 2021-10-11T11:31:34+00:00 1 Answer 0

Answers ( )

    0
    2021-10-11T11:32:39+00:00

    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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )