Use the following conversion rates: 1 gallon (gal) = 4 quarts (qt) 1 quart (qt) = 2 pints (pt) 1 pint (pt) = 2 cups (c) 1 cup (c) = 8 fluid ounces (fl oz) 1 fluid ounce (fl oz) = 2 tablespoons (tbsp) 1 tablespoon (tbsp) = 3 teaspoons (tsp) How many gal in 21 pts? Round to the nearest hundredth if necessary. You do not need to include a label for the measurement. Only the number will be necessary.
The Correct Answer and Explanation is:
To convert 21 pints (pts) to gallons (gal), we need to use the given conversion factors step by step. Let’s break down the process.
Step 1: Convert Pints to Quarts
We know that:
1 quart (qt) = 2 pints (pt).
Therefore, to convert pints to quarts, we divide the number of pints by 2:Quarts=21 pts2=10.5 qt.\text{Quarts} = \frac{21 \, \text{pts}}{2} = 10.5 \, \text{qt}.Quarts=221pts=10.5qt.
Step 2: Convert Quarts to Gallons
We are also given that:
1 gallon (gal) = 4 quarts (qt).
To convert quarts to gallons, we divide the number of quarts by 4:Gallons=10.5 qt4=2.625 gal.\text{Gallons} = \frac{10.5 \, \text{qt}}{4} = 2.625 \, \text{gal}.Gallons=410.5qt=2.625gal.
Final Answer:
Thus, 21 pints is equal to 2.625 gallons.
Explanation:
We used two conversion factors:
- 1 quart = 2 pints, so we first converted the 21 pints to quarts.
- 1 gallon = 4 quarts, so we then converted the quarts to gallons.
Since the final result is 2.625, there is no need for rounding in this case, as it is already to the nearest hundredth.
