Problema Solution
A new cruise ship line has just launched 3 new ships: the Pacific Paradis, the Caribbean Paradis, and the Mediterranean Paradise. The Caribbean Paradise has 31 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 34 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 877.
Answer provided by our tutors
Let Pacific Paradise has x ships
Then, Caribbean Paradise has x+31
and Mediterranean Paradise has 3x-34
x + x + 31 + 3x - 34 = 877
5x - 3 = 877
5x = 877 + 3
5x = 880
x = 880/5
x = 176
So, Pacific Paradise has 176 ships, Caribbean Paradise has 176+31 = 207 ships, Mediterraean Paradise has 3(176)-34 = 494 ships