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10 November, 20:00

An animal shelter spends $2.00 per day to care for each bird and $5.00 per day to care for each cat. Gabriel noticed that the shelter spent $44.00 caring for birds and cats on Friday. Gabriel found a record showing that there were a total of 13 birds and cats on Friday. How many birds were at the shelter on Friday?

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Answers (2)
  1. 10 November, 20:23
    0
    7 birds

    Step-by-step explanation:

    No. of birds: x

    No. of cats: y

    2x + 5y = 44

    x + y = 13

    x = 13 - y

    2 (13 - y) + 5y = 44

    26 - 2y + 5y = 44

    3y = 18

    y = 6

    x = 13 - 6

    x = 7
  2. 10 November, 20:30
    0
    7 birds

    Step-by-step explanation:

    Let b = number of birds

    c = number of cats

    We know there were 13 birds and cats

    b+c = 13

    It is $2 per bird and $5 per cat for a total of $44

    2b+5c = 44

    Solve b+c = 13 for c by subtracting b from each side

    c = 13-b

    Now we can substitute this into the second equation

    2b+5c = 44

    2b + 5 (13-b) = 44

    Now distribute

    2b+65 - 5b = 44

    Combine like terms

    -3b + 65 = 44

    Subtract 65 from each side

    -3b + 65-65 = 44-65

    -3b = - 21

    Divide each side by - 3

    -3b/-3 = - 21/-3

    b=7

    There were 7 birds

    We could also find the number of cats

    c = 13-7

    c = 6
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