__Set up the givens where b is the cost of a burger and d is the cost of a drink:__

Max: 2b + 2d = 5

Bob: 3b + d = 5.50

__Rearrange Bob's equation by subtracting 3b from each side__

(3) d = 5.50 - 3b

__Now substitute that d equation back into Max's Equation__

2b + 2(5.50 - 3b) = 5

2b + 11 - 6b = 5

__Combine b terms:__

-4b + 11 = 5

__Subtract 11 from each side__

-4b = -6

__Divide each side by -4__

b = 3/2

**b = $1.50**

__Now plug that back into equation (3):__

d = 5.50 - 3(1.50)

d = 5.50 - 4.50

**d = $1.00**