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22 November, 19:12

An animal shelter spends $2.00 per day to care for each cat and $7.00 per day to care for each dog. Brooklyn noticed that the shelter spent $82.00 caring for cats and dogs on Friday. Brooklyn found a record showing that there were a total of 26 cats and dogs on Friday. How many cats were at the shelter on Friday?

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  1. 22 November, 19:26
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    The number of cats at the shelter on Friday was 20.

    Step-by-step explanation:

    Hi there!

    Let "x" be the number of cats and "y" the number of dogs.

    The shelter spends $2 per cat and $7 per dog. If the total expenses on Friday was $82, then, two times the number of cats plus seven times the number of dogs is equal to 82:

    2x + 7y = 82

    We also know that the total number of cats and dogs was 26. Then, the number of cats plus the number of dogs is equal to 26:

    x + y = 26

    Let's solve this equation for y and replace it in the first equation

    y = 26 - x

    Then:

    2x + 7 (26 - x) = 82

    Apply distributive property:

    2x + 182 - 7x = 82

    Subtract 182 to both sides of the equation:

    -5x = - 100

    divide both sides of the equation by - 5

    x = 20

    The number of cats at the shelter on Friday was 20.

    Have a nice day!
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