the caribbean paradise has 25 more deluxe states rooms thern the pacific paradise the mediterranean parasdidse has 26 fewer deluxe states rooms than three times the number of deluxe states rooms than pacific paradisse find the number of deluxe states rooms
for each of the ships if the total number deluxe states rooms for the three ships is 874

Let CP be Caribbean Paradise

Let MP be Mediterranean Paradise

Let PP be the Pacific Paradise

CP = 25 + PP (eq. 1)

MP = 3PP - 26 (eq. 2)

CP + PP + MP = 874 (eq. 3)

substitute eq. 1 and eq. 2 to eq. 3:

(25 + PP) + PP + (3PP - 26) = 874

5PP - 1 = 874

5PP = 875

PP = 175

substitute value of PP into eq. 1 and eq. 2 to find MP and CP:

CP = 25 + 175 = 200

MP = 3(175) - 26 = 499

so,

**PP = 175, CP = 200, MP = 499**