Carrtibean Paradise Question

Question

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

Answer 1

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