A new cruise line has just launched 3 new ships; the Pacific Paradise, the Caribbean paradise , and the Mediterranean paradise. The Caribbean paradise has 34 more deluxe staterooms than the pacific paradise. The Mediterranean paradise has 48 fewer deluxe staterooms than four 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 staterooms for the 3 ships is 903.

Let the number of deluxe rooms in pacific paradise be x .

The Caribbean paradise has 34 more deluxe staterooms than the pacific paradise.

So, number of deluxe rooms in caribbean paradise = x + 34

The Mediterranean paradise has 48 fewer deluxe staterooms than four times the number of deluxe staterooms on the pacific paradise.

So, number of deluxe rooms in mediterranean paradise = 4x - 48

The total number of staterooms for the 3 ships is 903.

So,

x + (x + 34) + (4x - 48) = 903

x + x + 34 + 4x - 48 = 903

6x - 14 = 903

6x = 903 + 14

6x = 917

x = 917/6

x = 152.8 (Something is wrong with the question. Please check)

There seems to be some mistake in the question. I am getting the number of deluxe rooms as a decimal number. Please check once more. I shall solve based on your response.