Penny is making punch for a party the recipe requires twice as much orange juice cranberry and 8 times ginger ale If she plans to make 176 ounces of puch how much?

Let's assume the amount of orange juice, cranberry juice, and ginger ale needed for the recipe are represented by "x" ounces. According to the recipe:

Amount of Orange Juice = x ounces

Amount of Cranberry Juice = x ounces

Amount of Ginger Ale = 8 * x ounces

Since the recipe calls for twice as much orange juice and cranberry juice compared to ginger ale, we can write:

Orange Juice = 2 * (8 * x) = 16 * x ounces

Cranberry Juice = 2 * (8 * x) = 16 * x ounces

Now, we know that Penny plans to make 176 ounces of punch in total. So, the sum of the orange juice, cranberry juice, and ginger ale must equal 176 ounces.

16 * x + 16 * x + 8 * x = 176

40 * x = 176

Solving for "x", we get:

x = 176 / 40

x = 4.4

Therefore, the amount of orange juice and cranberry juice needed is 16 * 4.4 = 70.4 ounces each. And the amount of ginger ale needed is 8 * 4.4 = 35.2 ounces.