SOLUTION: PROBLEM SOLVING: HOW TO SOLV??? A weekend at the Beach Bay Hotel in Florida incledues 2 nights and 4 meals at the cost of $194. A week cost $650 for 7 nights and 10 meals. Fiind

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Question 123414: PROBLEM SOLVING: HOW TO SOLV???
A weekend at the Beach Bay Hotel in Florida incledues 2 nights and 4 meals at the cost of $194. A week cost $650 for 7 nights and 10 meals. Fiind the cost for one night then the cost of one meal.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2N+4M=194 NOW MULTIPLY THIS EQUATION BY -2.5 THEN ADD THEM.
7N+10M=650
-5N-10M=-485
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2N=650-485
2N=165
N=165/2
N=$82.50 IS THE NIGHT RATE.
2*82.5+4M=194
165+4M=194
4M=194-165
4M=29
M=29/4
M=$7.25 IS THE MEAL RATE.
PROOF.
7*82.50+10*7.25=650
577.5+72.5=650
650=850