SOLUTION: a new cruise ship line has just launched 3 new ships. The caribbean has 37 more delux staterooms than the Pacifice. the maditerranean has 40 fewer deluxe stateroom than four times

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Question 363173: a new cruise ship line has just launched 3 new ships. The caribbean has 37 more delux staterooms than the Pacifice. the maditerranean has 40 fewer deluxe stateroom than four times the number of deluxe staterooms on the pacific. Find the number of deluxe stateroom for each of the ships if the total number of deluxe staterooms for the three ships is 729
Answer by amoresroy(361) About Me  (Show Source):
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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