You need 2 cups of orange juice to make 3 quarts of punch. How many cups of orange juice do you need to make 3 gallons of punch?
If I recall those old non-metric units ...
1 gallon = 4 quarts, so 3 gallons = 12 quarts
2 cups juice : 3 quarts punch = x cups juice : 12 quarts punch
2/3 = x/12
x = 12(2/3) = 8
No answer just thx
To determine the number of cups of orange juice needed to make 3 gallons of punch, you would follow these steps:
1. Convert gallons to quarts: Since 1 gallon equals 4 quarts, you have 3 x 4 = 12 quarts of punch.
2. Use the given information that 2 cups of orange juice are needed to make 3 quarts of punch. We can set up a ratio to find how many cups of orange juice are needed for 12 quarts:
(2 cups of orange juice) / (3 quarts of punch) = (x cups of orange juice) / (12 quarts of punch)
3. Cross-multiply and solve for x:
2 * 12 = 3 * x
24 = 3 * x
4. Divide both sides of the equation by 3 to isolate x:
24 / 3 = x
x = 8
So, you would need 8 cups of orange juice to make 3 gallons of punch.
To solve this problem, we need to determine the relationship between cups, quarts, and gallons. Let's break it down step by step:
1. We know that 2 cups can make 3 quarts of punch. This means that the ratio of cups to quarts is 2:3.
So, for every 2 cups of orange juice, we have 3 quarts of punch.
2. Now, we want to find out how many cups of orange juice we need to make 3 gallons of punch.
First, we need to convert 3 gallons to quarts. There are 4 quarts in a gallon, so 3 gallons would be equal to 3 x 4 = 12 quarts.
3. Next, we use the ratio from step 1 to determine the cups of orange juice needed for 12 quarts of punch.
If 2 cups of orange juice make 3 quarts of punch, then the ratio of cups to quarts is 2:3.
Using this ratio, we can set up a proportion: 2 cups / 3 quarts = X cups / 12 quarts.
Cross-multiplying, we get: 2 cups * 12 quarts = 3 quarts * X cups.
Simplifying, we have: 24 cups = 3X.
Dividing both sides by 3, we find that X (the number of cups) is equal to 8 cups.
Therefore, to make 3 gallons of punch, you would need 8 cups of orange juice.