Select the system of equations that represents this situation. Use c to
represent the cost of a cup of coffee and wto represent the cost of a bottle of
water.
2 cups of coffee and 7 bottles of water cost $16.
3 cups of coffee and 8 bottles of water cost $19.

The answer is:

2c + 7w = 16
3c + 8w = 19.
Third option, C.

For the first equation, I know there are 2 cups of coffee. I know that I can represent 2 cups of coffee with c, 2c. Next, I know that there are 7 bottles of water. 7 bottles of water can be represented with w, 7w. I got 16, since I know 2 cups of coffee and 7 bottles of water gives us $16.

I did the same thing for the second equation. I know that there are 3 cups of coffee, and 8 bottles of water. I got $19, since 3 cups of coffee and 8 bottles of water is equal to $19.