A new cruise ship line has just launched 3 new ships. The Pacific Paradise, the Caribbean Paradise, & the Mediterranean Paradise. The Caribbean Paradise has 37 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 40 fewer deluxe staterooms than 4 times the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ship if the total number of deluxe staterooms for the 3 ships is 819.
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Expert's answer
2011-02-28T07:24:28-0500
Denote the number of deluxe staterooms in Pacific Paradise as x, as the Caribbean Paradise has 37 more deluxe staterooms than the Pacific Paradise, it would have (x+ 37) staterooms, as the Mediterranean Paradise has 40 fewer deluxe staterooms than 4 times the number of deluxe staterooms on the Pacific Paradise, it would have (4x - 40) deluxe staterooms. The total number of staterooms is: x + x + 37 + 4x - 40 = 819 6x - 3 = 819 6x = 822 x = 137 x + 37 = 174 4x - 40 = 508 Thus the Pacific Paradise has 137 deluxe staterooms, the Caribbean Paradise has 174 deluxe staterooms, the Mediterranean Paradise has 508 deluxe staterooms.
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