20 c = __ pints 48 c = __ quarts 13 qt = __ pt

Question image

Understand the Problem

The question is asking for conversions between different units of volume, specifically from cups to pints and quarts, and from quarts to pints. To solve this, we need to know the conversion rates: 1 cup = 0.5 pints and 1 quart = 2 pints.

Answer

6. 10 pints, 7. 12 quarts, 8. 26 pints
Answer for screen readers
  1. 10 pints

  2. 12 quarts

  3. 26 pints

Steps to Solve

  1. Convert Cups to Pints (Question 6)

    To convert from cups to pints, we use the conversion factor:
    $$ 1 \text{ cup} = 0.5 \text{ pints} $$
    For 20 cups, the conversion to pints is calculated as follows:
    $$ 20 \text{ cups} \times 0.5 \text{ pints/cup} = 10 \text{ pints} $$

  2. Convert Cups to Quarts (Question 7)

    To convert from cups to quarts, we understand that:
    $$ 1 \text{ quart} = 4 \text{ cups} $$
    So, we need to first convert cups to quarts by rearranging the conversion:
    $$ 1 \text{ cup} = \frac{1}{4} \text{ quarts} $$
    For 48 cups, the conversion to quarts is calculated as follows:
    $$ 48 \text{ cups} \times \frac{1 \text{ quart}}{4 \text{ cups}} = 12 \text{ quarts} $$

  3. Convert Quarts to Pints (Question 8)

    To convert from quarts to pints, we use the conversion factor:
    $$ 1 \text{ quart} = 2 \text{ pints} $$
    For 13 quarts, the conversion to pints is calculated as follows:
    $$ 13 \text{ quarts} \times 2 \text{ pints/quart} = 26 \text{ pints} $$

  1. 10 pints

  2. 12 quarts

  3. 26 pints

More Information

  • 1 cup equals 0.5 pints, meaning there are 2 cups in a pint.
  • 1 quart consists of 4 cups, and therefore, it equals 2 pints due to the conversion factors.
  • These unit conversions are helpful in cooking and recipe adjustments.

Tips

  • Confusing the conversion rates between cups, pints, and quarts, which can lead to applying the wrong multiplier.
  • Not keeping track of units while performing calculations, potentially resulting in an answer with incorrect units.

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