A new cruise ship line has just launched 3 new ships: the Pacific, the Caribbean, and the Mediterranean. The Caribbean has 32 more rooms then the Pacific.

The Mediterranean has 38 fewer rooms than FOUR times the number of rooms on the Pacific. Find the number of rooms for each of the ships if the total number of rooms for the 3 ships is 828.

C = P + 32

M = 4 P - 38

C + P + M = 828

P + 32 + P + 4 P - 38 = 828

6 P -6 = 828

6 P = 834

P = 139
now go back and get C and M