Hearing that Tessa won £25 and she gave her winnings to her five children. She gave her first child £1 plus 1 / 6 of the money remain

Question

Hearing that Tessa won £25 and she gave her winnings to her five children.
She gave her first child £1 plus 1 / 6 of the money remaining.
She gave her second child £2 plus 1 / 6 of the money remaining.
She gave her third child £3 plus 1 / 6 of the money remaining, and so on…

Without doing any calculations, which child do you think ended up with the most money?

Work out how much each child received

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Eloise 2 weeks 2021-09-28T20:53:24+00:00 2 Answers 0

Answers ( )

    0
    2021-09-28T20:54:36+00:00

    Answer:

    • All the children got equal amount of money
    • Each child received 5 euros.

    Step-by-step explanation:

    Tessa won 25 euros.

    She gave her winnings to her five children.

    1st child got: 1 euro + \frac{1}{6} of 24 euros = 5 euros

    2nd child got: 2 euros + \frac{1}{6} of 18 euros = 5 euros

    3rd child got: 3 euros + \frac{1}{6} of 12 euros = 5 euros

    4th child got: 4 euros + \frac{1}{6} of 6 euros = 5 euros

    5th child got: 5 euros + \frac{1}{6} of 0 euros = 5 euros

    0
    2021-09-28T20:54:55+00:00

    The oldest would receive a sixth of the original amount, so s/he would receive the most

    1/6 of £25 = £4.17 so that’s what the oldest got.

    (£25 – 4.17) • 1/6 = £3.47 so that’s what the second oldest got

    (£25 – [4.17 + 3.47]) • 1/6 = £2.93 so that’s what #3 got

    (£25 – [4.17 + 3.47 + 2.93]) • 1/6 = £2.41 so that’s what number 4 got

    And the remaining 12.98 went to the 5th child

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