SOLUTION: The caribbean paradise has 12 more deluxe staterooms than the Pacific. The Mediterranean has15 fewer deluxe staterooms than the Pacific. The total of the three is 525. What is the

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Question 892101: The caribbean paradise has 12 more deluxe staterooms than the Pacific. The Mediterranean has15 fewer deluxe staterooms than the Pacific. The total of the three is 525. What is the number for each?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
c = count of rooms for Caribbean Paradise
p = rooms for Pacific
m = rooms for Mediterranean

c=12%2Bp;
m=-15%2Bp;
c%2Bp%2Bm=525.

The c and m equations:
p=c-12 and p=m+15
c-12=m%2B15
c-m=15%2B12
highlight_green%28c-m=27%29

Substitute for p in the "525" equation:
c%2B%28m%2B15%29%2Bm=525-----( the equation p=c-12 could have been used instead )
c%2B2m%2B15=525
highlight_green%28c%2B2m=510%29

Use those two green-outlined equations.
c%2B2m-%28c-m%29=510-27 -------using Elimination Method to handle this part
3m=483
m=483%2F3
highlight%28m=161%29
This is one part of the solution.
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Use m to find the values for p and c.

This problem could be handled in many ways. You could also use matrices.