Question

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 37 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 20 fewer deluxe staterooms than three limes 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 shins is 982

Answer 1

The Pacific Paradise has 193 deluxe staterooms, the Caribbean Paradise has 230 deluxe staterooms, and the Mediterranean Paradise has 559 deluxe staterooms.

Step-by-step explanation:

Let's assume that the Pacific Paradise has x number of deluxe staterooms.

The Caribbean Paradise has 37 more deluxe staterooms, so the number of deluxe staterooms on the Caribbean Paradise would be x + 37.

The Mediterranean Paradise has 20 fewer deluxe staterooms than three times the number of deluxe staterooms on the Pacific Paradise, so the number of deluxe staterooms on the Mediterranean Paradise would be 3x - 20.

Adding up the number of deluxe staterooms for all three ships, we get:

x + (x + 37) + (3x-20) = 982

5x + 17 = 982

5x = 965

x = 193

Therefore, the Pacific Paradise has 193 deluxe staterooms, the Caribbean Paradise has 230 deluxe staterooms (193 + 37), and the Mediterranean Paradise has 559 deluxe staterooms (3*193 - 20).