Problema Solution
A new cruise ship line has just launched 3 new ships: the Pacific Paradis, the Caribbean Paradis, and the Mediterranean Paradise. The Caribbean Paradise has 28 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 40 fewer deluxe staterooms than three 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 476.
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 28 more deluxe staterooms than the Pacific Paradise
c = 28 + p
the Mediterranean Paradise has 40 fewer deluxe staterooms than three times the number of deluxe staterooms on the Pacific Paradise
m = 3p - 40
the total number of deluxe staterooms for the three ships is 476
p + c + m = 476
by solving the system of equations
c = 28 + p
m = 3p - 40
p + c + m = 476
we find
p = 97.6
c = 125.6
m = 252.8
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the solutions are not integers thus there is no solution for this problem.