Question 363173
Let C = the no. of delux staterooms in Caribbean
    P = the no. of delux staterooms in Pacific
    M = the no. of delux staterooms in Mediterranean

First Equation
 C = P + 37

Second Equation 
 M = 4P - 40

Third Equation
 C+P+M = 729

Expressing the Third Equation in terms of P
(P+37) + P + (4P - 40) = 729
                   6P  = 729 + 3
                    P = 122
                    C = 122 + 37
                      = 159
                    M = 4(122) - 40
                      = 448