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6 June, 22:01

Jason has 43 stamps. Some

are worth 15 cents and some

are worth 20 cents. If their total

value is $7.50, how many of

each kind does he have?

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Answers (1)
  1. 6 June, 22:30
    0
    Jason has a total of 43 stamps, and we have two different stamps involved.

    x = 15 cents

    y = 20 cents

    We will need to set up two equations and then use substitution:

    43 = x + y (represents total stamps)

    7.50 = 0.15x + 0.20y (represents total value)

    To use substitution, we'll use the first equation and get either x or y on its own. In this case I will choose to get y on its own:

    43 - x = x - x + y (subtract x to get y alone)

    43 - x = y

    Now we will use this in the second equation and simplify:

    7.50 = 0.15x + 0.20 (43 - x)

    7.50 = 0.15x + 8.6 - 0.20x

    7.50 = 8.6 - 0.05x

    -1.1 = - 0.05x (divide by - 1.1 to get x alone)

    22 = x

    Now that we know Jason has 22 of the stamps that are worth 15 cents, we need to find y by plugging x, 22, into the first equation:

    43 = 22 + y

    21 = y

    Jason has 22 stamps that are worth 15 cents and 21 stamps that are worth 20 cents.
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