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Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies. The rest of the class gets nothing and begins to collectively cry. How many cookies were in the batch, to begin with?

Respuesta :

Answer:

36

Step-by-step explanation:

After dylan took half of the cookies and 6 were left there were

12 before he took any

Than If Koji took a 3rd when 12 were left there were 18

Than if Paige took a 1/4 of what was left when there were 18 there were 24

This same pattern is the same for the next 2

24+6 = 30 and than 30+6 = 36

TLDR;

remove 6 per person meaning there were 36 to begin
There were 12 cookies before any were taken by anybody.

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