Problema Solution
a new cruise ship line has launched 3 new ships pacific paradise,Caribbean paradise and Mediterranean paradise. the Caribbean paradise has 25 more deluxe staterooms than the pacific paradise. the Mediterranean paradise has 39 fewer deluxe staterooms than four times the number of deluxe staterooms on the pacific paradise. find the number of deluxe staterooms for each ship if the total number of deluxe staterooms for three ships is 664.
Answer provided by our tutors
let
p = the number of deluxe staterooms on Pacific Paradise
c = the number of deluxe staterooms on Caribbean Paradise
m = the number of deluxe staterooms on Mediterranean Paradise
where p,c and m are non-negative integers
the Caribbean paradise has 25 more deluxe staterooms than the pacific paradise
c = 25 + p
the Mediterranean paradise has 39 fewer deluxe staterooms than four times the number of deluxe staterooms on the pacific paradise.
m = 4p - 39
the total number of deluxe staterooms for three ships is 664
p + c + m = 664
by solving the system of equations
c = 25 + p
m = 4p - 39
p + c + m = 664
we find
p = 113
c = 138
m = 413
click here to see the step by step solution of the system of equations
there are 113 deluxe stateroom on Pacific Paradise.
there are 138 deluxe stateroom on Caribbean Paradise.
there are 413 deluxe stateroom on Mediterranean Paradise.