Final answer:
To find how much ginger ale is needed per cup of cranberry juice, set up a proportion and solve for x. Heather needs 3/2 cup of ginger ale per cup of cranberry juice.
Step-by-step explanation:
To find how much ginger ale is needed per cup of cranberry juice, we need to compare the ratio of ginger ale to cranberry juice.
Given that Heather uses 3/4 cup ginger ale per 1/2 cup of cranberry juice, we can set up a proportion as follows:
3/4 cup ginger ale / 1/2 cup cranberry juice = x cups ginger ale / 1 cup cranberry juice
To solve for x, we need to cross multiply and divide:
3/4 * 1 = x * 1/2
3/4 = x/2
Now, we can multiply both sides by 2 to solve for x:
x = 3/4 * 2
x = 6/4
Simplifying the fraction, we get:
x = 3/2
Therefore, Heather needs 3/2 cup of ginger ale per cup of cranberry juice.