Roger is planning a party. He needs these ingredients in the following quantities to
make punch:
• 2 quarts orange juice • 3 cups cranberry juice • 1 gallon ginger ale
• 1 pint pineapple juice
Roger knows he will need a relatively large container to mix the punch. Unfortunately,
all he can find is a bowl that holds 8 liters of liquid. He is not sure whether he can fit
all of the ingredients in the bowl at the same time.
Use the following measurement equivalents to determine if Roger can use the 8-liter
bowl to mix all the ingredients for the punch. 1 liter is about 4.23 cups, 2.11 pints,
1.06 quarts, and 0.26 gallons. Show your work.
To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we need to convert all the ingredient quantities to liters and then add them up.
1 quart is equal to 0.946 liters (1 * 0.26)
1 gallon is equal to 3.785 liters (1 * 0.26)
So, the ingredient quantities in liters are as follows:
- 2 quarts orange juice = 1.892 liters (2 * 0.946)
- 3 cups cranberry juice = 0.7095 liters (3 * 0.2365)
- 1 gallon ginger ale = 3.785 liters (1 * 3.785)
- 1 pint pineapple juice = 0.473 liters (1 * 0.473)
Now, let's add up all the ingredient quantities:
1.892 + 0.7095 + 3.785 + 0.473 = 6.8595
The total quantity of all the ingredients is approximately 6.8595 liters.
Since the 8-liter bowl can hold more than 6.8595 liters, Roger can use the 8-liter bowl to mix all the ingredients for the punch.
If Roger can use the bowl, he needs to determine how many liters of liquid could still
fit into the bowl. If he cannot use the bowl, he needs to determine how many extra
liters of liquid there are. Round your answers to the nearest tenth of a liter. Show
your work.
Since the 8-liter bowl can hold more than 6.8595 liters (the total quantity of all the ingredients), Roger can use the bowl to mix all the ingredients for the punch.
To determine how many liters of liquid could still fit into the bowl, we subtract the total quantity of all the ingredients from the capacity of the bowl.
8 - 6.8595 = 1.1405
Therefore, approximately 1.1 liters of liquid could still fit into the bowl.
Roger also wants to make sandwiches for his guests. He buys the following sandwich
fillings:
• 1.5 kilograms of turkey
• 1.25 kilograms of beef
• 2.25 pounds of cheese
a. Roger wants to know if he purchased more turkey or more cheese. Use the
conversion ratio 1 kilogram = about 2.2 pounds to determine the correct
answer. Show your work
To compare the amount of turkey and cheese, we need to convert the weight of turkey to pounds using the conversion ratio of 1 kilogram = about 2.2 pounds.
1.5 kilograms of turkey is equal to 1.5 * 2.2 = 3.3 pounds.
Given that Roger bought 2.25 pounds of cheese, we can see that he purchased more turkey (3.3 pounds) than cheese (2.25 pounds). Therefore, Roger purchased more turkey.