SOLUTION: Ali is planning a March Break down south for the class. She has been told by the travel agent that 5 days accommodation and 3 meals a day will cost $550 per person or 6 night’s a

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Ali is planning a March Break down south for the class. She has been told by the travel agent that 5 days accommodation and 3 meals a day will cost $550 per person or 6 night’s a      Log On


   

Question 1181774: Ali is planning a March Break down south for the class. She has been told by the travel agent that 5 days accommodation and 3 meals a day will cost $550 per person or 6 night’s accommodation and 2 meals a day is $600 a person. How much are they charging for a meal and for a day?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x accommodation price per day
y meal price ( * not that)

The assumption that 1 day and 1 "night" are the same price, which may be an incorrect assumption:
*
system%28x%2B9y=110%2Cx%2B2y=100%29
-
.
Does not seem right. Expecting whole number in pennies
* Mistake in interpreting meals in the day and the "night"

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor says the numbers don't seem right because the dollar amounts should be whole numbers.

The reason they are not in her solution is because she set up the problem incorrectly....

5 days plus 3 meals a day (15 meals) costs $550:
5d+15m=550
d+3m=110 [1]

6 days plus 2 meals a day (12 meals) costs $600:
6d+12m=600
d+2m=100[2]

From [1] and [2], m=10; then d = 80.

ANSWERS: $80 a day and $10 for each meal