Math  /  Numbers & Operations

Question\begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline fluid ounce & fl oz & \\ \hline cup & c & 1c=8floz1 \mathrm{c}=8 \mathrm{fl} \mathrm{oz} \\ pint & pt & 1pt=2c1 \mathrm{pt}=2 \mathrm{c} \\ \hline quart & qt & 1qt=2pt1 \mathrm{qt}=2 \mathrm{pt} \\ gallon & gal & 1gal=4qt1 \mathrm{gal}=4 \mathrm{qt} \end{tabular}
Fill in the blanks. 8qt=pt10c=pt\begin{array}{l} 8 \mathrm{qt}=\llbracket \mathrm{pt} \\ 10 \mathrm{c}=\square \mathrm{pt} \end{array}

Studdy Solution

STEP 1

1. We are given conversion factors between different units of volume.
2. We need to convert quarts to pints and cups to pints using the provided conversion factors.

STEP 2

1. Convert quarts to pints.
2. Convert cups to pints.

STEP 3

Use the conversion factor for quarts to pints: 1qt=2pt1 \mathrm{qt} = 2 \mathrm{pt}.

STEP 4

Calculate the number of pints in 8qt8 \mathrm{qt}:
8qt×2pt1qt=16pt8 \mathrm{qt} \times \frac{2 \mathrm{pt}}{1 \mathrm{qt}} = 16 \mathrm{pt}

STEP 5

Use the conversion factor for cups to pints: 1pt=2c1 \mathrm{pt} = 2 \mathrm{c}.

STEP 6

Calculate the number of pints in 10c10 \mathrm{c}:
10c×1pt2c=5pt10 \mathrm{c} \times \frac{1 \mathrm{pt}}{2 \mathrm{c}} = 5 \mathrm{pt}
The filled blanks are:
8qt=16pt8 \mathrm{qt} = \llbracket 16 \mathrm{pt} 10c=5pt10 \mathrm{c} = \square 5 \mathrm{pt}

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