Algebraic word problem
Mathematics

Tutor: None Selected  Time limit: 1 Day 
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 = 9036x = 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.
The original # of rooms for the carribean is supposed to be 24. I also need the number of rooms for each type of room in my answer
Thank you for the quick response.
But, are these 3 points mentioned in the question correct?
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
The total number of deluxe rooms for the 3 ships is 903.
Please post the question once more after checking.
Caribbean paradise should be 24 not 34. Meditteranean is 38 fewer not 48. Sorry, typing error.
Ok. Can you check this also
The total number of deluxe rooms for the 3 ships is 903.
its 904. I dont know what happened. Im so sorry
Please be a little more careful next time :)
I shall now post the complete solution.
k. thank you
Let the number of deluxe rooms in pacific paradise be x .
The Caribbean paradise has 24 more deluxe staterooms than the pacific paradise.
So, number of deluxe rooms in caribbean paradise = x + 24
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  38
The total number of deluxe rooms for the 3 ships is 904.
So,
x + (x +24) + (4x  38) = 904
x + x + 24 + 4x  38 = 904
6x  14 = 9046x = 904 + 14
6x = 918
x = 918/6
x = 153
So, number of rooms in the Pacific Paradise = x = 153
Number of rooms in the Caribbean Paradise = x + 24 = 153 + 24 = 177
Number of rooms in the Mediterranean Paradise = 4x  38 = 4*153  38 = 574
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