SOLUTION: A new Cruise ship line has just launched three new ships the Pacific Paradise the Caribbean paradise and the Mediterranean Paradise the Caribbean Paradise has 23 more deluxe stater

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Question 1037130: A new Cruise ship line has just launched three new ships the Pacific Paradise the Caribbean paradise and the Mediterranean Paradise the Caribbean Paradise has 23 more deluxe staterooms than the Pacific Paradise the Mediterranean Paradise has 35 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 923
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
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A new Cruise ship line has just launched three new ships the Pacific Paradise the Caribbean paradise and the Mediterranean Paradise.
The Caribbean Paradise has 23 more deluxe staterooms than the Pacific Paradise.
The Mediterranean Paradise has 35 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 923.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x = . . . of the Pacific Paradise; 
y = . . . of the Caribbean paradise;
z = . . . of the Mediterranean Paradise.

y = x + 23,        (1)
z = 3x - 35,       (2)
x + y + z = 923.   (3)

Substitute y = x + 23 from (1)  and  z = 3x-35  from (2)  into (3). You will get a single equation for x.

From this point please complete the solution on your own.

The majors difficulties in solving this problem are

1. Very long names of the objects (intently introduced difficulty), and
2. Absence of the separators (dots) between the phrases in the original condition (the second intently introduced difficulty).


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