A weekend at the Beach Bay Hotel in Florida includes 2 nights and 4 meals. A week includes 7 nights and 10 meals. Let n = the cost of 1 night and m = the cost of 1 meal. Find the cost of 1 night and the cost of 1 meal.
How do I set this up?
To find the cost of 1 night and the cost of 1 meal, we can set up a system of equations using the given information.
Let's define the variables:
n = cost of 1 night
m = cost of 1 meal
From the information given, we have two equations:
1) A weekend at the Beach Bay Hotel in Florida includes 2 nights and 4 meals:
2n + 4m = cost of a weekend
2) A week includes 7 nights and 10 meals:
7n + 10m = cost of a week
Now we can solve this system of equations to find the values of n (cost of 1 night) and m (cost of 1 meal).