Question

Creative CapacitiesPart 1irections: Use the information in the charts to answer the questions. Show yourork and include equations to show how you solved each problem. Refer to the unitossary terms to remind yourself of the measurement conversions.Beverages 2 pints of 2 quarts of 16 cups of 32 ounces ofthe Store milkorange juicechocolate lemonademilk1. Julius is buying beverages for brunch. He needs to buy a total of 5gallons of beverages. He decides to buy two containers of eachbeverage. How many gallons of beverages did he buy?

Answer 1

First, recall the following conversions between units:

`\begin{gathered} 1\text{ gallon }=4\text{ quarts} \\ 1\text{ gallon }=8\text{ pints} \\ 1\text{ gallon }=16\text{ cups} \\ 1\text{ gallon }=128\text{ ounces} \end{gathered}`

Convert the capacity of each container available in the store to gallons:

2 pints of milk

`2\text{ pints}=2\text{ pints}*\frac{1\text{ gallon}}{8\text{ pints}}=0.25\text{ gallons}`

2 quarts of orange juice

`2\text{ quarts}=2\text{ quarts}*\frac{1\text{ gallon}}{4\text{ quarts}}=0.5\text{ gallons}`

16 cups of chocolate milk

`16\text{ cups}=16\text{ cups}*\frac{1\text{ gallon}}{16\text{ cups}}=1\text{ gallon}`

32 ounces of lemonade

`32\text{ ounces}=32\text{ ounces}*\frac{1\text{ gallon}}{128\text{ ounces}}=0.25\text{ gallons}`

Add up all the capacities to find the volume of beverages of buying 1 of each container:

`\begin{gathered} 2\text{ pints}+2\text{ quarts}+16\text{ cups}+32\text{ ounces} \\ =0.25\text{ gallons}+0.5\text{ gallons}+1\text{ gallon}+0.25\text{ gallons} \\ =2\text{ gallons} \end{gathered}`

If Julius buys 2 containers of each beverage, then the amount of gallons will be twice the amount of buying 1 container of each beverage:

`2*2\text{ gallons}=4\text{ gallons}`

Therefore, the amount of gallons of beverages that Julius bought is 4.