SOLUTION: A new cruise ship line has just launched 3 new ships: the pacific paradise, The Caribbean paradise and the Mediterranean paradise. The Caribbean paradise has 10 more deluxe statero
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Question 1069679: A new cruise ship line has just launched 3 new ships: the pacific paradise, The Caribbean paradise and the Mediterranean paradise. The Caribbean paradise has 10 more deluxe staterooms that the pacific paradise. The Mediterranean paradise has 32 fewer deluxe staterooms than three times the number of deluxe staterooms on the pacific paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 623 Answer by ikleyn(52787) (Show Source):
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A new cruise ship line has just launched 3 new ships: the pacific paradise, The Caribbean paradise and the Mediterranean paradise.
The Caribbean paradise has 10 more deluxe staterooms that the pacific paradise. The Mediterranean paradise has 32 fewer deluxe staterooms
than three times the number of deluxe staterooms on the pacific paradise. Find the number of deluxe staterooms for each of
the ships if the total number of deluxe staterooms for the three ships is 623
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Let P = # of staterooms on Pacific paradise.
Then # of staterooms on Caribbean paradise is P+10,
and # of staterooms on Mediterranean paradise is 3P-32.
The equation is
P + (P+10) + (3P-32) = 623.
Simplify and solve for P:
5P - 22 = 623 ---> 5P = 623 + 22 = 645 ---> P = = 129 staterooms.
Answer. Pacific = 129 staterooms, Caribbean = 139 staterooms and Mediterranean = 355 staterooms.
