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2 December, 18:08

A factory packages 4250 boxes of cereal. The number of oat cereal boxes is 715 more than the number of wheat cereal boxes. The number of fruit cereal boxes is 5 times the number of wheat cereal boxes. How many fruit cereal boxes does the factory package.

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  1. 2 December, 19:00
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    O = number of oat cereal, w = number of wheat cereal, f = number of fruit cereal:

    o + w + f = 4250

    o = w + 715

    f = 5w

    The second equation tells us the value of o in terms of w, and the third equation tells us the value of f in terms of w, so we can plug in "w + 715" for o and "5w" for f in the first equation:

    o + w + f = 4250

    (w + 715) + w + (5w) = 4250

    Then, add like terms and subtract and divide to isolate the w:

    w + 715 + w + 5w = 4250

    7w + 715 = 4250 Subtract 715 on both sides:

    7w = 3535 Divide by 7 on each side:

    w = 505

    Now that we have w, we can plug it into the last equation to find f, the number of fruit cereal boxes:

    f = 5w

    f = 5 (505)

    f = 2525

    Therefore, the factory packages 2525 fruit cereal boxes.
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