I hate word problems!!

[juspchy]

The new cruise ship has just launched 3 new ships: The Pacific Paradise, The Caribbean Paradise and the Mediterranean Paradise. The Caribbean Paradise has 19 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 36 fewer deluxe staterooms than 3 times the number of deluxe staterooms on the Pacific Paradise. Find the numbers of deluxe staterooms for each of the ships if the total of the deluxe staterooms for the three ships is 878.

Pacific Paradise has_____________
Caribbean Paradise has__________
Mediterranean Paradise has_________

 

[galactus]

Think it through. The problem statements are centered around how many rooms are in the Pacific.

Let the number of rooms in the Pacific be P.

Then, from the given constraints, let the number of rooms on the Mediterranean be M and the number in the Caribbean be C.

We are told that the Med has 36 fewer than 3 times the number on the Pacific, 3M-36.

For the Caribbean, C=19+P

The total is 878.

So, we have:

\(\displaystyle P+(\underbrace{3P-36}_{\text{Mediterranean}})+(\overbrace{19+P}^{\text{Caribbean}})=878\)

Solve for P and the others will follow by subbing in their constraints.