Beverages
at the Store
2,000
milliliters of
soda
2.5 liters of
apple juice
1,500
milliliters of
fruit punch
2 liters of
lemonade
2. Mandy wants to buy a variety of beverages for her birthday party. She
wants to make sure she has enough to drink for all her friends, so she
decides to buy 10 liters of beverages. If she buys at least one
container of each beverage, what combination of beverages can she
buy to equal exactly 10 liters?
Let's start by converting all the volumes to liters:
- 2,000 milliliters = 2 liters
- 1,500 milliliters = 1.5 liters
Now we can list all the possible combinations of beverages that add up to 10 liters:
- 2 liters of soda + 2.5 liters of apple juice + 1.5 liters of fruit punch + 2 liters of lemonade = 8 liters
- 2 liters of soda + 2.5 liters of apple juice + 1.5 liters of fruit punch + 2.5 liters of lemonade = 8.5 liters
- 2 liters of soda + 2.5 liters of apple juice + 2 liters of fruit punch + 2 liters of lemonade = 9.5 liters
- 2 liters of soda + 2.5 liters of apple juice + 2.5 liters of fruit punch + 1.5 liters of lemonade = 8.5 liters
- 2 liters of soda + 2 liters of apple juice + 1.5 liters of fruit punch + 2.5 liters of lemonade = 8 liters
- 2 liters of soda + 2 liters of apple juice + 2 liters of fruit punch + 2 liters of lemonade = 8 liters
- 2 liters of soda + 1.5 liters of apple juice + 1.5 liters of fruit punch + 2.5 liters of lemonade = 7.5 liters
- 2 liters of soda + 1.5 liters of apple juice + 2 liters of fruit punch + 2 liters of lemonade = 7.5 liters
- 2 liters of soda + 2.5 liters of apple juice + 1.5 liters of fruit punch + 1.5 liters of lemonade + 2 liters of lemonade = 10 liters
So there are 9 possible combinations that Mandy can buy to get exactly 10 liters of beverages. Note that in all these combinations, she buys at least one container of each beverage.