5 books and 5 bags cost $175. What is the cost of 2 books and 2 bags

Discussion in 'Calculator Requests' started by math_celebrity, Dec 5, 2019.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    5 books and 5 bags cost $175. What is the cost of 2 books and 2 bags

    Let the cost of each book be b and the cost of each bag be c. We're given
    5b + 5c = 175

    We can factor this as:
    5(b + c) = 175

    Divide each side of the equation by 5, we get:
    (b + c) = 35

    The problem asks for 2b + 2c

    Factor out 2:
    2(b + c)

    we know from above that (b + c) = 35, so we substitute:
    2(35)
    70
     

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