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25 June, 02:38

An animal shelter spends $4.00 per day to care for each bird and $6.00 per day to care for each cat. Alexander noticed that the shelter spent $126.00 caring for birds and cats on Monday. Alexander found a record showing that there were a total of 26 birds and cats on Monday. How many birds were at the shelter on Monday?

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  1. 25 June, 03:04
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    15 birds

    Step-by-step explanation:

    In this case we can solve it using a 2x2 system of equations, like this:

    let x: number of birds in the shelter

    let y: number of cats in the shelter

    So:

    4 * x + 6 * y = 126

    x + y = 26 = > x = 26 - y

    Replacing, we are left with that:

    4 * (26 - y) + 6 * y = 126

    104 - 4 * y + 6 * y = 126

    - 4 * y + 6 * y = 126 - 104

    2 * y = 22

    y = 2/22

    y = 11

    Now to calculate x:

    x = 26 - 11

    x = 15

    Which means that there were 15 birds and 11 cats in the shelter.
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