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a coat,shirt and tie cost $300. coat costs twice as much as the shirt. shirt cost $40 more than twice the cost of the tie. what are the cost of each item?

  • math -

    300-40=260

  • math -

    Let x = tie cost, then shirt = 2x+40 and coat = 2(2x+40).

    x + (2x+40) + 2(2x+40) = 300

    Get rid of parentheses and combine like terms.

    x + 2x + 40 + 4x + 80 = 300

    7x = 300-120 = 180

    Divide by 7.

    x = 25.71

    From there, calculate the shirt and coat.

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