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 fit all of the ingredients in the 8-liter bowl, we need to convert the quantities of the ingredients to liters.
2 quarts orange juice = 2 * 1.06 = 2.12 liters
3 cups cranberry juice = 3 * 0.24 = 0.72 liters
1 gallon ginger ale = 1 * 3.79 = 3.79 liters
1 pint pineapple juice = 1 * 0.47 = 0.47 liters
Now, we add up all the quantities of the ingredients to see if it exceeds 8 liters:
2.12 + 0.72 + 3.79 + 0.47 = 7.10 liters
Since the total volume of the ingredients is less than 8 liters, Roger can fit all of the ingredients in the 8-liter bowl.
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.
If Roger can use the 8-liter bowl to mix all the ingredients, we need to subtract the total volume of the ingredients from the capacity of the bowl:
8 - 7.10 = 0.9 liters
Therefore, if Roger can use the bowl, there would be 0.9 liters of space left in the bowl for additional liquid.
If Roger cannot use the 8-liter bowl, we need to subtract the capacity of the bowl from the total volume of the ingredients:
7.10 - 8 = -0.9 liters
Therefore, if Roger cannot use the bowl, there would be an extra 0.9 liters of liquid that cannot fit.
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