Answer to Question #7921 in Algebra for willie turner

Question #7921
a new cruise ship has just launched 3 new ships: the pacafic paradise, the cribbean paradise, and the mediterranean paradise. the cribbean paradise had 33 more deluxe state rooms than the pacific paradise. the mediterranean paradise had 35 fewer deluxe state rooms than three times the number of deluxe state rooms on the pacific paradise. find the number of deluxe state rooms for each ship, if the total number of deluxe state rooms for the three ships is 633
1
Expert's answer
2012-03-28T16:24:22-0400
Let's make denotations:
cribbean paradise has x deluxe rooms
pacific paradise has y deluxe rooms
mediterranean paradise has z deluxe rooms
We know that x+y+z=633
We also know that "cribbean paradise had 33 more deluxe state rooms than the pacific paradise" => x=y+33
"the mediterranean paradise had 35 fewer deluxe state rooms than three times the number of deluxe state rooms on the pacific paradise"=> z+35=3y
Thus, we need to solve the system of equations:
x+y+z=633
x=y+33
z+35=3y => z=3y-35
whence (y+33)+y+(3y-35)=633
5y-2=633
5y=635
y=127
hence x=127+33=160
z=3y-35=381-35=346

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS