SOLUTION: A certain number of passengers board a cruise ship in Miami. When the ship reaches Jamaica, 1/2 of the passengers leave the ship and 40 new passengers board. At the Bahamas port,
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Question 435723: A certain number of passengers board a cruise ship in Miami. When the ship reaches Jamaica, 1/2 of the passengers leave the ship and 40 new passengers board. At the Bahamas port, 1/4 of the passengers leave and 52 new ones board. When the ship reaches Bermuda, 1/5 leave and 35 board. There are now 163 passengers on board the ship. How many passengers began the cruise in Miami? Answer by rwm(914) (Show Source):
You can put this solution on YOUR website! x board in miami
x/2 leave in jamaica and 40 join
in bahamas 1/4(x/2+40) leave and 52 board
in bermuda 1/5((1/4(x/2+40)+52) leave and 35 board
4/5(3/4(x/2+40)+52) +35=163
208 began the cruise in miami
check
104 got off in jamaica
104+40=144
1/4 got off in bahamas
36 got off in bahamas and 52 boarded
108 +52=160
1/5 got off in bermuda 160/5=32 got off and 35 got on
160-32=128
128+35=163
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