SOLUTION: A box of 10 cookies claims to have a total of 100 chocolate chips. The chips in 7 of the cookies were counted and it was found that there were 57 chips. If the claim about the tota
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Question 388526: A box of 10 cookies claims to have a total of 100 chocolate chips. The chips in 7 of the cookies were counted and it was found that there were 57 chips. If the claim about the total number of chips is true, then which of the following are true?:Each of the remaining three cookies must have at least 15 chips. Each of the remaining cookies must have at least 14 chips. All of these At least one of the remaining three cookies must have at least 15 chips.
Only one statement can be true. Answer by solver91311(24713) (Show Source):
The only thing that you know for certain is that the total number of chips in the three remaining cookies must be 43 in order for the claim to be true. But none of the answers allows for the unlikely nevertheless possible eventuality that one of the remaining cookies has 41 chips and the other two remaining cookies have 1 chip each. It is certainly true that the cookies in the entire bag must have different numbers of chips and we know this because 57 is not evenly divisible by 7.
John
My calculator said it, I believe it, that settles it