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4 December, 14:10

An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. Gianna noticed that the shelter spent $20.50 caring for cats and dogs on Tuesday. Gianna found a record showing that there were a total of 7 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday?

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  1. 4 December, 14:38
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    2 cats were cared for

    Step-by-step explanation:

    c = cats

    d=dogs

    c+d = 7

    1.5c+3.5d=20.50

    c+d = 7

    solve for d

    d = 7-c

    substitute into 1.5c+3.5d=20.50

    1.5 c + 3.5 (7-c) = 20.50

    distribute

    1.5c + 24.5 - 3.5 c = 20.5

    combine like terms

    24.5 - 2c = 20.5

    subtract 24.5 from each side

    -2c = - 4

    divide by - 2

    c = 2
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