Question

Christian had the following containers of water left over 5/2 gallon, 3/4 quart, and 1/4 gallon. How many quarts of water does Christian have left over?

Answer 1

Step 1

Write an expression for the equality between gallon and quartz

`1\text{ gallon = 4 quartz}`

Step 2

Convert all necessary units in gallon to quartz and sum them up to find the water Christain had left

Leftovers include

`\begin{gathered} (5)/(2)\text{gallons }+\text{ }(3)/(4)quartz\text{ + }(1)/(4)gallons \\ Convert\text{ }(5)/(2)gallon\text{ to quartz and }(1)/(4)gallons\text{ to quartz} \end{gathered}`
`\begin{gathered} \frac{1\text{ gallon}}{(5)/(2)\text{ gallon}}=\frac{4\text{ quartz}}{x\text{quartz}} \\ x\text{ =4}*\text{ }(5)/(2) \\ x\text{ = 10 quartzs} \\ \text{For }(5)/(2)\text{gallons} \\ \end{gathered}`
`\begin{gathered} \frac{1\text{ gallon}}{\frac{1}{4\text{ }}gallon}=\frac{4\text{ quartz}}{x\text{ quartz}} \\ x\text{ = }(1)/(4)*4=1\text{ quartz} \\ \text{For }(1)/(4)gallons \end{gathered}`

Sum all together to find all water left

`10\text{ + }(3)/(4)\text{ +1=11}(3)/(4)\text{quartz}`

Therefore Christain has 11 3/4 quartz of water left.(Answer)

Step-by-step explanation

1 gallon = 4 quartz ( given standard)

5/2 gallon = X quartz

Cross multiply

1 gallon x X quartz = 5/2 gallon x 4 quartz

1 gallon x X quartz = 5/2 gallon x 4 quartz

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1gallon 1 gallon

X quartz = 10 quartz