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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 19 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 28 fewer deluxe staterooms than twice 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 759.

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  1. P + C + M = 759
    C = P + 19
    M = 2P - 28

    P + (P+19) + (2P-28) = 759

    Solve for P, then C and M.

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