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
500 milliliters cranberry juice
Design your own fruit punch recipe for brunch! 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 create a 5 liter fruit punch, we will use the following combination of juices:
- 250 ml of lemonade (0.25 liters)
- 500 ml of orange juice (0.5 liters)
- 250 ml of grape juice (0.25 liters)
- 250 ml of apple juice (0.25 liters)
- 500 ml of pineapple juice (0.5 liters)
Let x be the number of containers of lemonade needed, y be the number of containers of orange juice needed, and z be the number of containers of grape juice needed.
The total volume of lemonade = 0.25x liters
The total volume of orange juice = 0.5y liters
The total volume of grape juice = 0.25z liters
Since the total volume of the punch is 5 liters, we have the equation:
0.25x + 0.5y + 0.25z + 0.25 + 0.5 + 0.25 = 5
0.25x + 0.5y + 0.25z = 5 - 1.25
0.25x + 0.5y + 0.25z = 3.75
Since we need exactly 5 liters of punch, we can further assume that the total number of containers must be equal to 5. Therefore, x + y + z = 5.
To solve this system of equations, we can use substitution or elimination.
One possible solution is:
- 6 containers of lemonade
- 4 containers of orange juice
- 5 containers of grape juice
This combination will give us exactly 5 liters of fruit punch.