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#91316
Complete Question Explanation

The correct answer choice is (C).

Answer choice (A):

Answer choice (B):

Answer choice (C): This is the correct answer choice.

Answer choice (D):

Answer choice (E):

This explanation is still in progress. Please post any questions below!
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 mathildebarland
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#100475
Hello,

I narrowed down my choices to A and C when doing this question, but I am not understanding why C is the correct answer as they both seem equally valid to me. Could someone please provide an explanation? Thanks!
 Adam Tyson
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#100485
The short answer here, mathildebarland, is that at least 3 of our campers will have to buy tents. K and M must always get tents, and in this case G also has to get one, because otherwise G gets just a stove, which would violate the conditions of the question (L has to be the ONLY camper who buys a stove and nothing else). J might also buy a tent, but that doesn't have to happen.

Since at least 3 campers have to get tents, we can eliminate answers A, B, and D.

We also know that K and M must buy stoves, and the conditions of the question require L to also buy one, for a minimum of 3 stoves. G might also get one, and J could as well, but we're starting with a minimum of 3. At this point, answer E looks possible - 3 tents (G, K, and M) and 3 stoves (K, L, and M). But that can't be the end of it, because J still has to get either a stove or a tent. So if there are only 3 stoves, J gets a tent, making for 4 tents. If there are only 3 tents, then J gets a stove, which makes 4 of those. We can't have 3 and 3! That eliminates E, and C is the winner.

To show this a little more visually, here's what the question requires of us:

G: T (maybe also S?)
H: R
J: RS or else RT
K: ST
L: S
M: RST

Because J has to have S or T, there will always be at least 4 stoves or else at least 4 tents.

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