Let:

* x = number of 12-ounce bottles

* y = number of 16-ounce bottles

Set up the equations:

* Equation 1 (Total bottles): x + y = 19

* Equation 2 (Total ounces): 12x + 16y = 248

Solve for x and y:

One way to solve this is using substitution:

1. Solve Equation 1 for x: x = 19 - y

2. Substitute this value of x into Equation 2: 12(19 - y) + 16y = 248

3. Simplify and solve for y: 228 - 12y + 16y = 248

4y = 20

y = 5

4. Substitute the value of y back into Equation 1 to find x: x + 5 = 19

x = 14

Answer:

* There are 14 12-ounce bottles.

* There are 5 16-ounce bottles.