Answer to Question #13285 in Algebra for jeremy
Pacific Paradise - P rooms
Caribbean Paradise - C rooms
Mediterranean Paradise - M rooms
Let's formalize the problem statements now:
The caribbean paradise has 17 more deluxe staterooms than the Pacific Paradise, so
C = P + 17.
The Mediterranean Paradise has 19 fewer deluxe staterooms than three times the number of deluxe staterooms of the pacific paradise, so
M = 3P - 19.
At last, the total number of deluxe staterooms for the three ships is 788, so
P + C + M = 788.
Here we got the system of equations:
C = P + 17,& (1)
M = 3P - 19,& (2)
P + C + M = 788. (3)
Let's solve it.
substituting C from (1) and M from (2) to (3) we obtain:
P + P + 17 + 3P - 19 = 788 ==> 5P = 790 ==> P = 158.
C = P + 17 = 158 + 17 = 175
M = 3P - 19 = 3*158 - 19 = 455.
So, Pacific Paradise has 158 rooms, Caribbean Paradise 175 rooms and Mediterranean Paradise 455 rooms.
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