Math (Please Help)

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A man went to a post office to buy stamps. He bought x, 50 cent stamps and y, 25 cent stamps for $3.50. If he bought twice as many 50 cent stamps and half as many 25 cent stamps, the cost would be $4.75. Evaluate x and y

  • Math (Please Help) -

    total cost for x,y

    50x + 25y = 350

    total cost for new x,y

    50(2x) + 25(y/2) = 475

    Putting it together:

    50x + 25y = 350
    100x + 25/2 y = 475

    or, with no ugly fractions

    50x + 25y = 350
    200x + 25y = 950

    Subtract top from bottom

    150x = 600
    x = 4
    y = 6

    50(4) + 25(6) = 350
    50(8) + 25(3) = 475

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