a hotel offers the following specials: plan a is two nights and one meal for $106. plan b is 2 nights and 4 meals for #130. what price is the hotel charging per night and per meal ??

Answer 1

Let x = nights and y = meals.

2x + 4y = 130

2x + y = 106

Subtract second equation from first.

3y = 24

Solve for y, then put that value into one of the first two equations to find x. To check, put both values in the remaining equation.

Answer 2

$48 per night
$8 per meal