Final answer:
To find the number of cups of soda per cup of punch, set up a proportion and solve for the unknown variable.
Step-by-step explanation:
To find the number of cups of soda per cup of punch, we need to set up a proportion. The given information states that Lola needs 2/3 cup of lemon-lime soda for every 2 cups of punch. Let the number of cups of soda per cup of punch be represented by x. We can set up the proportion: 2/3 cups of soda / 2 cups of punch = x cups of soda / 1 cup of punch. Next, cross multiply and solve for x: (2/3)(1 cup of punch) = (2 cups of punch)(x cups of soda). Simplifying, we get (2/3) = (2x). Dividing both sides by 2, we find x = 1/3 cup of soda per cup of punch. Therefore, there are 1/3 cup of soda per cup of punch.