Search 83,531 tutors
FIND TUTORS
Ask a question
0 0

Carrtibean Paradise 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
Tutors, please sign in to answer this question.

1 Answer

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