Question

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 1111 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 1515 fewer deluxe staterooms than three timesthree 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 576576.

Answer 1

Pacific Paradise deluxe state rooms=116

Caribbean Paradise deluxe state rooms = 127

Mediterranean Paradise deluxe state rooms = 333

Explanation:

Hi, the numbers are doubled, the correct values are:

Caribbean Paradise has 11 more deluxe staterooms than the Pacific Paradise.

Mediterranean Paradise has 15 fewer deluxe staterooms than three times the number of deluxe staterooms on the Pacific Paradise.

Total number of deluxe staterooms for the three ships is 576.

So, to solve we have to write 3 equations.

C =11 +P

M = P3-15

C+M+P =576

Where:

• C: number of Caribbean Paradise deluxe state rooms
• M: number of Mediterranean Paradise deluxe state rooms
• P: number of Pacific Paradise deluxe state rooms

Replacing values in the total ships equation:

(11 +P) + (P3-15)+P =576

Solving for P:

11 -15 +P+P+3P =576

-4 +5P =576

5P =576+4

5P =580

P = 580/5

P=116

Replacing P in each ship's equation

C = 11 +P= 11 +(116) =127

M =3P -15 = 3 (116)-15 = 333