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11 July, 10:57

A stamp collector has some 15¢ stamps and some 20¢ stamps. The number of 15¢ stamps is eight less

than three times the number of 20¢ stamps. The total value is $4. Find the number of each type of

stamp in the collection.

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Answers (1)
  1. 11 July, 11:06
    0
    Step-by-step explanation:

    Let variable x represent the 15¢ stamps, and variable y represent 20¢ stamps.

    x = 3y-8

    0.15x+0.20y = 4

    Replace x in the second equation by (3y-8)

    0.15 (3y-8) + 0.20y = 4

    0.45y - 1.2 + 0.20y = 4

    Collect like terms;

    0.45y+0.20y = 4+1.2

    0.65y = 5.2

    Divide both sides by 0.65 to solve for y;

    y = 5.2/0.65

    y = 8

    Replace in equation " x=3y-8 " to solve for x;

    x = (3*8) - 8

    x=24 - 8

    x = 16

    Therefore, the 15¢ stamps are 16 in number, and the 20¢ stamps are 8 in number.
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