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Jake ate 1/6 of the chocolates the Jill came ate 1/5 of the remaining then mike ate 1/4 of the remaining then Sara ate 1/3 of the remaining and Luke ate 1/2 of what was left. I came home and there was 4 chocolate left. How many did jake eat?

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sqdancefan

Answer:

  4 chocolates

Step-by-step explanation:

Before Luke started eating, there were 8. This is 2/3 of what Sara had to start with, so she started with 12. That is 3/4 of what Mike started with, so he started with 16.

Jill left 4/5 of what she started with, so she must have started with 20. Jake ate 1/6 and left 5/6, so 20 is 5 times the number Jake ate.

Jake ate 4 chocolates.

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Jill ate 4; Mike ate 4; Sara ate 4; and Luke ate 4.

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