Answer to Question #9053 in Algebra for Tata
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.
C = P + 32 = 146 + 32 = 178
M = 4P - 36 = 4*146 - 36 = 548.
So, Pacific Paradise has 146 rooms, Caribbean Paradise 178 rooms and Mediterranean Paradise 548 rooms.
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