Math

QuestionFind the volume difference between a 30 quart feeder and a 6 gallon feeder. Options: 1121 \frac{1}{2}, 5, 6, 7127 \frac{1}{2}, 24 quarts.

Studdy Solution

STEP 1

Assumptions1. The capacity of the first feeder is30 quarts. . The capacity of the second feeder is6 gallons.
3. We need to find the difference in volumes of the two feeders. 4.1 gallon is equivalent to4 quarts.

STEP 2

First, we need to convert the capacity of the second feeder from gallons to quarts. We can do this by multiplying the number of gallons by the conversion factor (4 quarts/gallon).
Capacityinquarts=NumberofgallonstimesConversionfactorCapacity\, in\, quarts = Number\, of\, gallons \\times Conversion\, factor

STEP 3

Now, plug in the given values for the number of gallons and the conversion factor to calculate the capacity in quarts.
Capacityinquarts=6gallonstimesquarts/gallonCapacity\, in\, quarts =6\, gallons \\times\, quarts/gallon

STEP 4

Calculate the capacity of the second feeder in quarts.
Capacityinquarts=6gallonstimes4quarts/gallon=24quartsCapacity\, in\, quarts =6\, gallons \\times4\, quarts/gallon =24\, quarts

STEP 5

Now that we have the capacity of both feeders in the same units (quarts), we can find the difference in their volumes. This is done by subtracting the smaller volume from the larger one.
Differenceinvolumes=LargervolumeSmallervolumeDifference\, in\, volumes = Larger\, volume - Smaller\, volume

STEP 6

Plug in the values for the larger volume (first feeder) and the smaller volume (second feeder) to calculate the difference in volumes.
Differenceinvolumes=30quarts24quartsDifference\, in\, volumes =30\, quarts -24\, quarts

STEP 7

Calculate the difference in volumes.
Differenceinvolumes=30quarts24quarts=6quartsDifference\, in\, volumes =30\, quarts -24\, quarts =6\, quartsThe difference in the volumes of the two feeders is6 quarts.

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