Problema Solution
a new cruize ship line has just launched 3 new ships. The second has 34 more deluxe rooms than the first. the third has 40 fewer than four times the number of deluxe rooms in the first. find the number of deluxe rooms if the total number of deluxe rooms is 636.
Answer provided by our tutors
let
x = the number of room in the first ship
y = the number of rooms in the second ship
z = the number of rooms in the third ship
The second has 34 more deluxe rooms than the first
y = 34 + x
the third has 40 fewer than four times the number of deluxe rooms in the first
z = 4x - 40
the total number of deluxe rooms is 636
x + y + z = 636
by solving the system of equations
y = 34 + x
z = 4x - 40
x + y + z = 636
we find
x = 107 rooms
y = 141 rooms
z = 388 rooms
click here to see the step by step solution of the system of equations
the first ship has 107 deluxe rooms, the second ship has 141 deluxe rooms, the third ship has 388 deluxe rooms.