If 2 cups equal a pint, and 2 pints equal a quart, and 4 quarts equal a gallon, how many cups are there in 4 gallons?
The Correct Answer and Explanation is :
To solve the problem, we need to figure out how many cups are in 4 gallons. The conversion factors given are:
- 2 cups = 1 pint
- 2 pints = 1 quart
- 4 quarts = 1 gallon
Let’s break it down step by step:
Step 1: Converting Gallons to Quarts
We know that 4 quarts make up 1 gallon. So, to convert 4 gallons into quarts:
- 1 gallon = 4 quarts
- Therefore, 4 gallons = 4 * 4 quarts = 16 quarts.
Step 2: Converting Quarts to Pints
Next, we convert quarts into pints. According to the conversion given, 1 quart is equivalent to 2 pints. So, to convert 16 quarts into pints:
- 1 quart = 2 pints
- Therefore, 16 quarts = 16 * 2 pints = 32 pints.
Step 3: Converting Pints to Cups
Finally, we convert pints into cups. From the information provided, 1 pint equals 2 cups. So, to convert 32 pints into cups:
- 1 pint = 2 cups
- Therefore, 32 pints = 32 * 2 cups = 64 cups.
Final Answer
Thus, there are 64 cups in 4 gallons.
Explanation
Understanding the relationships between cups, pints, quarts, and gallons is key to solving this problem. Each unit is a smaller measure that fits into the next larger one, so converting between them requires multiplying or dividing by the appropriate factor. In this case, the key steps involve converting gallons to quarts, quarts to pints, and then pints to cups. This kind of unit conversion is essential in everyday life, especially when dealing with recipes, liquids, and quantities in various measurements. By breaking down the problem into smaller steps, it’s easier to understand how these conversions work and how they apply to real-world scenarios.