Question 1
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. Show your work.
If he 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.
1 liter is about 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons
Question 2
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
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.
Roger discovers that he needs to buy some chicken as well. He buys an amount of
chicken that weighs more than the beef he bought and less than the turkey he
bought. Give an amount in pounds that the chicken could weigh, rounded to the
nearest hundredth of a pound.
Roger is curious to know the total weight of all four sandwich fillings he bought. He
weighs it twice, once using ounces and once using grams. If 16 ounces = 1 pound
and 1,000 grams = 1 kilogram, will the total weight of the sandwich fillings be a
greater number of ounces or a greater number of kilograms? Explain your answer
3 answers
To determine if Roger can use the 8-liter bowl to mix all the ingredients, we need to convert the quantities of each ingredient to liters.
To do this, we'll use the measurement equivalents provided:
1 liter = 4.23 cups
1 liter = 2.11 pints
1 liter = 1.06 quarts
1 liter = 0.26 gallons
The quantities of each ingredient in liters are:
2 quarts orange juice = 2 * 1.06 = 2.12 liters
3 cups cranberry juice = 3 * 4.23 / 4 = 3.18 liters
1 gallon ginger ale = 1 * 3.78 = 3.78 liters
1 pint pineapple juice = 1 * 2.11 / 2 = 1.06 liters
The total quantity of all the ingredients is:
2.12 + 3.18 + 3.78 + 1.06 = 10.14 liters
Since 10.14 liters is greater than the capacity of the bowl (8 liters), Roger cannot fit all the ingredients in the bowl at the same time.
To determine how many extra liters of liquid there are, we subtract the capacity of the bowl from the total quantity of the ingredients:
10.14 - 8 = 2.14 liters
Therefore, Roger has 2.14 liters of extra liquid.
Question 2:
To determine if Roger purchased more turkey or more cheese, we need to convert the quantities to the same unit of measurement.
1.5 kilograms of turkey = 1.5 * 2.2 = 3.3 pounds
2.25 pounds of cheese = 2.25 pounds
Since 3.3 pounds is greater than 2.25 pounds, Roger purchased more turkey than cheese.
To find the weight of the chicken that weighs more than the beef but less than the turkey, we know that it must be between 2.25 pounds and 3.3 pounds. Unfortunately, the specific weight cannot be determined without more information.
To determine if the total weight of the sandwich fillings will be a greater number of ounces or a greater number of kilograms, we need to convert the weights of the fillings to the same unit of measurement.
1 pound = 16 ounces
1 kilogram = 1000 grams
The weight of the turkey, beef, and cheese in kilograms is:
1.5 kilograms of turkey
1.25 kilograms of beef
To convert the weight of cheese from pounds to kilograms, we'll use the conversion ratio:
2.25 pounds of cheese = 2.25 / 2.2 ≈ 1.02 kilograms
The weight of the turkey, beef, and cheese in ounces is:
3.3 pounds of turkey = 3.3 * 16 = 52.8 ounces
1.25 kilograms of beef = 1.25 * 2.2 * 16 ≈ 43.55 ounces
2.25 pounds of cheese = 2.25 * 16 ≈ 36 ounces
Comparing the weights, we can see that the total weight of the sandwich fillings is a greater number of ounces (52.8 + 43.55 + 36 = 132.35 ounces) compared to kilograms (1.02 + 1.5 + 1.25 = 3.77 kilograms).
Therefore, the total weight of the sandwich fillings is a greater number of ounces.
Wyoming. Each has a state sales tax on most items that are for sale in stores.
While you are visiting, you decide to buy a board game to play with your hosts. The
cost of the game is between $10 and $20, and it is not a whole dollar amount.
Decide the cost of the board game. Write it here: ______
Now choose one of the four states listed above. Write it here: __________________
Use the internet to find the state’s general sales tax. Note that some counties, towns,
or cities may add more to the general sales tax, but you only need the general sales
tax. Write the tax rate here: ________
What is the total cost of the board game, including sales tax? Show your work
Let's assume the cost of the board game is $15.
The chosen state is not mentioned in the question, so I cannot fill in the blank with a specific state.
Let's assume the chosen state is Vermont.
Using the internet, I found that the general sales tax rate in Vermont is 6%.
To find the total cost of the board game including sales tax, we need to add the sales tax amount to the cost of the board game.
Sales tax amount = cost of the board game * sales tax rate / 100
Sales tax amount = 15 * 6 / 100 = 0.9
Total cost of the board game including sales tax = cost of the board game + sales tax amount
Total cost of the board game including sales tax = 15 + 0.9 = 15.9
Therefore, the total cost of the board game, including sales tax in Vermont, is $15.9.