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Solved on Nov 16, 2023

Divide 28 quarts 1 pint by 3 to find the smallest whole number quarts and pints.

STEP 1

Assumptions1. We are given28 quarts and1 pint to divide by3. . We know that1 quart equals pints.

STEP 2

First, we need to convert everything to the same unit for easy division. We'll convert quarts to pints since1 quart equals2 pints.
Total pints=Number of quartstimes2 pints/quart+Number of pintsTotal\, pints = Number\, of\, quarts \\times2\, pints/quart + Number\, of\, pints

STEP 3

Now, plug in the given values for the number of quarts and pints to calculate the total number of pints.
Total pints=28 quartstimes2 pints/quart+1 pintTotal\, pints =28\, quarts \\times2\, pints/quart +1\, pint

STEP 4

Calculate the total number of pints.
Total pints=28 quartstimes2 pints/quart+1 pint=57 pintsTotal\, pints =28\, quarts \\times2\, pints/quart +1\, pint =57\, pints

STEP 5

Now that we have the total number of pints, we can divide this by3.
ints per group=Total pints/3ints\, per\, group = Total\, pints /3

STEP 6

Plug in the value for the total number of pints to calculate the number of pints per group.
ints per group=57 pints/3ints\, per\, group =57\, pints /3

STEP 7

Calculate the number of pints per group.
ints per group=57 pints/3=19 pintsints\, per\, group =57\, pints /3 =19\, pints

STEP 8

Now that we have the number of pints per group, we can convert this back to quarts and pints. We know that1 quart equals2 pints, so we divide the number of pints by2 to get the number of quarts, and the remainder will be the number of pints.
Quarts per group=ints per group/2Quarts\, per\, group =ints\, per\, group /2ints per group=ints per group%2ints\, per\, group =ints\, per\, group \%2

STEP 9

Plug in the value for the number of pints per group to calculate the number of quarts per group and the number of pints per group.
Quarts per group=19 pints/2=9 quartsQuarts\, per\, group =19\, pints /2 =9\, quartsints per group=19 pints%2= pintints\, per\, group =19\, pints \%2 =\, pintThe answer is9 quarts pint.

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