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9 December, 01:08

When it hatches from its egg, the shell of certain crab is 1cm across. When fully grown the shell is approximately 10cm across. Each new shell is one-third bigger than the previous one. How many shell does a fully grown carb have during its life?

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  1. 9 December, 01:30
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    Well every time it gets rid of a shell it grows 1 1/3 times larger. So so to see how much it grows after the first time you say

    1 cm * 1 1/3 = 1 1/3 cm

    to get the next one you do the same

    1 1/3 cm * 1 1/3 cm = 16/9

    It will keep going multiplying by 1 1/3. So so we can say in an equation that the

    (initial size) * 1 1/3 * (number of shells) = length

    Or 1cm * 1 1/3 * n = L

    We we know the final length is 10cm

    So 1 1/3 * n = 10cm

    n = 7.5shells

    so approximately 7 or 8 shells
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