52 941
Assignments Done
97,8%
Successfully Done
In October 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Algebra Question for Tata

Question #9053
a new cruise line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise and the Mediterranean Paradise. The Caribbean has 32 more deluxe staterooms than the Pacific. The Mediterranean has 36 fewer deluxe staterooms than four times a number of deluxe staterooms on the Pacific. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 872.
Expert's answer
Let's make such denotions:
Pacific Paradise - P rooms
Caribbean Paradise - C rooms
Mediterranean Paradise - M rooms

Let's formalize the problem statements now:

The caribbean paradise has 32 more deluxe staterooms than the Pacific Paradise, so

C = P + 32.

The Mediterranean Paradise has 36 fewer deluxe staterooms than four times the number of deluxe staterooms of the pacific paradise, so

M = 4P - 36.

At last, the total number of deluxe staterooms for the three ships is 872, so

P + C + M = 872.

Here we got the system of equations:

C = P + 32,& (1)
M = 4P - 36,& (2)
P + C + M = 872. (3)

Let's solve it.
substituting C from (1) and M from (2) to (3) we obtain:
P + P + 32 + 4P - 36 = 872 ==> 6P = 876 ==> P = 146.

Then,
C = P + 32 = 146 + 32 = 178
and
M = 4P - 36 = 4*146 - 36 = 548.

So, Pacific Paradise has 146 rooms, Caribbean Paradise 178 rooms and Mediterranean Paradise 548 rooms.

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 first!

Leave a comment

Ask Your question