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moneybird
 4 years ago
"a" Adults and "k" students are trying to cross a river with a raft. However the raft can carry only 1 adult at a time, or 2 students, or 1 students. What is the minimum number of trips we need to take to bring everyone across? Express it as a general equation.
moneybird
 4 years ago
"a" Adults and "k" students are trying to cross a river with a raft. However the raft can carry only 1 adult at a time, or 2 students, or 1 students. What is the minimum number of trips we need to take to bring everyone across? Express it as a general equation.

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NotTim
 4 years ago
Best ResponseYou've already chosen the best response.0Koala Bird has put up a difficult question. I dunno how to do.

NotTim
 4 years ago
Best ResponseYou've already chosen the best response.0x+2k=Answer? Or; x+k=Answer? I really dunno.

Hero
 4 years ago
Best ResponseYou've already chosen the best response.0If moneybird asks a question, you know it isn't going to be easy

agreene
 4 years ago
Best ResponseYou've already chosen the best response.0a+k/2 = number of trips.

agreene
 4 years ago
Best ResponseYou've already chosen the best response.0actuallythats not right, because you need to get the raft back over

lilg132
 4 years ago
Best ResponseYou've already chosen the best response.0x = trips 2kx(2) = total number of trips or ax(2) = total number of trips or kx(2) = total numer of trips or as one equation kx(2) + 2kx(2) + ax(2) = total number of trips

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1Here is my attempt at this: A == Adults S == Students Left Right   a, k 0A, 0S a, k2 0A, 2S > 2 students take raft from Left to Right a, k1 0A, 1S > 1 student takes raft back to Left a1, k1 1A, 1S > 1 adult takes raft from Left to Right a1, k 1A, 0S > 1 student takes raft back to Left a1, k2 1A, 2S + a1, k1 1A, 1S __ 4 steps to tranfer each adult from Left to Right a2, k1 2A, 1S  a2, k 2A, 0S + a2, k2 2A, 2S a2, k1 2A, 1S a3, k1 3A, 1S a3, k 3A, 0S ... 1, k2 (a1)A, 2S 1, k1 (a1)A, 1S 0, k1 aA, 1S 0, k aA, 0S > we get here after 4a trips 0, k2 aA, 2S > 2 students take raft from Left to Right 0, k1 aA, 1S > 1 student takes raft back to Left 0, k3 aA, 3S + 0, k2 aA, 2S +> 2 steps to tranfer each student from Left to Right 0, k5 aA, 4S 0, k4 aA, 3S ... 0, 1 aA, (k1)S 0, 2 aA, (k2)S > we get here after 2(k2) trips 0, 0 aA, kS > one last trip to get last 2 students across so total trips = 4a + 2(k2) + 1 = 4a + 2k 3
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