Juice Containers: 250 milliliters of lemonade; 500 milliliters of orange juice; 250 milliliters of grape juice; 250 milliliters of apple juice; 500 milliliters of pineapple juice; and 500 milliliters of cranberry juice. Your recipe must create exactly 5 liters of punch and include at least three of the juices. also be sure to include how many containers of each juice you need. Show your work by writing equations that show how you determined the capacity.
To start, we need to determine how many milliliters are in 5 liters. Since there are 1000 milliliters in a liter, we have:
5 liters = 5 * 1000 milliliters = 5000 milliliters
Now, we need to create a punch recipe that will include at least three juices and add up to 5000 milliliters. Let's use the following variables for the juice containers:
L = lemonade (250 mL)
O = orange juice (500 mL)
G = grape juice (250 mL)
A = apple juice (250 mL)
P = pineapple juice (500 mL)
C = cranberry juice (500 mL)
Here is one possible recipe:
2L + 3O + 4G + 4A + P + C
2(250) + 3(500) + 4(250) + 4(250) + 500 + 500
500 + 1500 + 1000 + 1000 + 500 + 500 = 5000
So, the recipe would consist of:
- 2 containers of lemonade
- 3 containers of orange juice
- 4 containers of grape juice
- 4 containers of apple juice
- 1 container of pineapple juice
- 1 container of cranberry juice