SOLUTION: The Beach Resort is offering two weekend specials. One includes a 2-night stay and 3 meals at a cost of $195. The other includes a 3-night stay with 5 meals for a cost of $300. Fin

Question 1200373: The Beach Resort is offering two weekend specials. One includes a 2-night stay and 3 meals at a cost of $195. The other includes a 3-night stay with 5 meals for a cost of $300. Find the cost of a 1-night stay and the cost per meal.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x = the cost of a night stay.
y = the cost of a meal.
you have 2 equations that need to be solved simultaneously.
they are:
2x + 3y = 195
3x + 5y = 300
multiply both sides of the first equation by 3 and multiply both sides of the second equation by 2 to get:
6x + 9y = 585
6x + 10y = 600
subtract the first equation from the second to get:
y = 15
that's the cost of a meal.
solve for x in the first equation to get:
x = 75
that's the cost of a one night stay.
confirm by replacing x and y in both equations to get:
2x + 3y = 195 becomes 2*75 + 3*15 = 195 which becomes 150 + 45 = 195 which becomes 195 = 95.
3x + 5y = 300 becomes 3*75 + 5*15 = 300 which becomes 225 + 75 = 300 which becomes 300 = 300.
this confirms the costs for a 1 night stay and the cost for a meal are correct.
your solution is the cost of a one night stay is 75 and the cost of one meal is 15 at this resort.

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