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,
Algebra.Com
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
RELATED QUESTIONS
A cruise ship had 3 times as many adult passengers as child passengers when it left its... (answered by MathLover1,greenestamps,josgarithmetic)
A ship can carry a maximum of 60 passengers. By setting up an inequality, find the... (answered by Theo)
The speed of a cruise ship is 37 mph. How far will the ship travel in 2... (answered by josmiceli)
A cruise ship is being designed. It can have two types of rooms for passengers-suites and (answered by Theo)
Suppose that a cruise ship return to the Philippines from the Bahamas. Unknown to anyone, (answered by blaser211)
Suppose that a cruise ship return to the Philippines from the Bahamas. Unknown to anyone, (answered by Boreal)
please help me solve this problem:
The number of passengers carried by a coastal... (answered by Theo)
A cruise ship travels at a constant rate of 37 miles per hour. How far does the cruise... (answered by Alan3354)
A cruise ship travels at an average rate of 36 miles per hour. How far does the cruise... (answered by Alan3354)