Problema Solution
A new cruise ship line has just launched 3 new ships: the pacific paradise, the Caribbean paradise, and the Mediterranean paradise. The Caribbean paradise has 32more deluxe staterooms than the pacific paradise. The Mediterranean paradise has 36 fewer deluxe staterooms than four times the number of deluxe staterooms on the pacific paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 1088
Answer provided by our tutors
let
p = the number of deluxe staterooms at the Pacific paradise,
c = the number of deluxe staterooms at the Caribbean paradise,
m = the number of deluxe staterooms at the Mediterranean paradise
the Caribbean paradise has 32more deluxe staterooms than the pacific paradise
c = 32 + p
the Mediterranean paradise has 36 fewer deluxe staterooms than four times the number of deluxe staterooms on the pacific paradise
m = 4p - 36
the total number of deluxe staterooms for the three ships is 1088
p + c + m = 1088
by solving the system of equations
c = 32 + p
m = 4p - 36
p + c + m = 1088
we find
p =182 rooms
c = 214 rooms
m = 692 rooms
click here to see the step by step solution of the system of equations
The number of deluxe staterooms at the Pacific paradise is 182.
The number of deluxe staterooms at the Caribbean paradise is 214.
The number of deluxe staterooms at the Mediterranean paradise is 692.