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19 May, 07:55

Glenn has 450 stamps that are red blue green. 52% are red. He has 3/5 as many green as blue stamps. How many are blue and how many are green.

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  1. 19 May, 08:07
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    Since it is already stated that 52% of the 450 stamps are red (which is 234), the remaining 216 stamps are composed of blue and green stamps only. From there, we can write the equation:

    216 = b + g

    where: b = blue stamps; g = green stamps

    Applying the relation that the green stamps are 3/5 as much as the blue stamps, we can say that g = 3/5 b

    Substituting the relation to the equation:

    216 = b + 3/5 b

    216 = 8/5 b

    Dividing both sides by 8/5:

    216 / (8/5) = 8/5 b / (8/5)

    b = 135.

    Going back to the equation and substituting the value of b:

    216 = b + g

    216 = 135 + g

    Subtracting 135 from both sides to get g:

    216 - 135 = 135 - 135 + g

    g = 81

    Therefore, there are 135 blue stamps and 81 green stamps.
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