A new cruise ship line just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean Paradise.

The Caribbean Paradise has 29 more than the Pacific Paradise. The Mediterranean Paradise has 30 fewer deluxe staterooms than twice the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total of deluxe staterooms for the total of the three ships is 719.

Question

Mathematics

Aleah

19 July, 13:08

A new cruise ship line just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean Paradise.

The Caribbean Paradise has 29 more than the Pacific Paradise. The Mediterranean Paradise has 30 fewer deluxe staterooms than twice the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total of deluxe staterooms for the total of the three ships is 719.

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Answers (1)

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Damon Lee · Answer 1

C = caribbean, p = pacific, m = mediterranean

c = p + 29

m = 2p - 30

c + m + p = 719

(p + 29) + (2p - 30) + p = 719

4p - 1 = 719

4p = 719 + 1

4p = 720

p = 720/4

p = 180 < = = = pacific paradise deluxe staterooms

c = p + 29

c = 180 + 29

c = 209 < = = = caribbean paradise deluxe staterooms

m = 2p - 30

m = 2 (180) - 30

m = 360 - 30

m = 330 < = = = mediterranean paradise deluxe staterooms