SOLUTION: I can not seem to get the answers. A new cruise line has launched 3 new ships, the pacific, the Mediterranean and the Caribbean. The Caribbean has 16 more deluxe rooms then the pa

Algebra ->  Equations -> SOLUTION: I can not seem to get the answers. A new cruise line has launched 3 new ships, the pacific, the Mediterranean and the Caribbean. The Caribbean has 16 more deluxe rooms then the pa      Log On


   

Question 789864: I can not seem to get the answers.
A new cruise line has launched 3 new ships, the pacific, the Mediterranean and the Caribbean. The Caribbean has 16 more deluxe rooms then the pacific. The Mediterranean has 30fewer deluxe rooms then 3 times the number of deluxe rooms on the pacific. Find the number of deluxe rooms for each ship if the total number of deluxe rooms arec701.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A new cruise line has launched 3 new ships, the pacific, the Mediterranean and the Caribbean. The Caribbean has 16 more deluxe rooms then the pacific. The Mediterranean has 30fewer deluxe rooms then 3 times the number of deluxe rooms on the pacific. Find the number of deluxe rooms for each ship if the total number of deluxe rooms are 701.
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Equations:
p + m + c = 701
c = p + 16
m = 3p-30
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Substitute for "c" and for "m" and solve for "p"::
p + 3p-30 + p+16 = 701
5p -14 = 701
5p = 715
p = 143 (# on te Pacific)
c = p + 16 = 159 (# on the Caribbean)
m = 3p-30 = 399 (# on the Mediterranean)
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Cheers,
Stan H.