A dog and a cat together cost $100. If the price of the dogs $90 more than the cat, what is the cost

Discussion in 'Calculator Requests' started by math_celebrity, Feb 6, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A dog and a cat together cost $100. If the price of the dogs $90 more than the cat, what is the cost of the cat?

    Set up givens and equations
    • Let the cost of the dog be d
    • Let the cost of the cat be c
    We're given 2 equations:
    1. c + d = 100
    2. d = c + 90
    Substitute equation (2) into equation (1) for d
    c + c + 90 = 100

    Using our math engine, we see that:
    c = 5

    Substitute c = 5 into equation (2) above:
    d = 5 + 90
    d = 95
     

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