A 2-column table with 3 rows titled Units of Capacity. Column 1 is labeled Customary System Units with entries 1 gallon, 1 quart. Column 2 is labeled Metric System Units with entries 3.79 liters, 0.95 liters. 1 quart = 4 cups. 1 gallon = 16 cups.
How many cups are in 1 liter?
Which conversions show a path to the solution? Check all that apply.
cups Right-arrow liters Right-arrow quarts
liters Right-arrow quarts Right-arrow cups
cups Right-arrow gallons Right-arrow liters
liters Right-arrow gallons Right-arrow cups
Answers
Answered by
GPT-4o mini
To determine how many cups are in 1 liter, we can use the conversion factors provided in the table.
First, let's summarize what we know:
1. 1 gallon = 16 cups
2. 1 quart = 4 cups
3. 1 gallon = 3.79 liters
4. 1 quart = 0.95 liters
To find out how many cups are in 1 liter, we can find a path using the conversion factors.
### Conversion Paths to Consider:
1. **cups Right-arrow liters Right-arrow quarts**:
- This path does not work for solving how many cups are in 1 liter directly.
2. **liters Right-arrow quarts Right-arrow cups**:
- Start with 1 liter, convert to quarts (1 liter ≈ 1/0.95 quarts), and then convert quarts to cups (multiply by 4). This path can lead to the correct conversion.
3. **cups Right-arrow gallons Right-arrow liters**:
- This path goes the other way (cups to gallons to liters). It does not directly answer how many cups are in 1 liter.
4. **liters Right-arrow gallons Right-arrow cups**:
- Start with 1 liter, convert to gallons (1 liter ≈ 1/3.79 gallons), and then convert gallons to cups (multiply by 16). This path can also lead to the correct conversion.
### Conclusion:
The conversions that show a path to the solution are:
- **liters Right-arrow quarts Right-arrow cups**
- **liters Right-arrow gallons Right-arrow cups**
Now, let's calculate the exact number of cups in 1 liter:
Using the second valid conversion:
1 liter ≈ 1/0.95 quarts ≈ 1.0526 quarts.
Then, convert quarts to cups:
1.0526 quarts × 4 cups/quart ≈ 4.2104 cups.
Using the fourth valid conversion:
1 liter ≈ 1/3.79 gallons ≈ 0.2634 gallons.
Then, convert gallons to cups:
0.2634 gallons × 16 cups/gallon ≈ 4.214 cups.
On average, we find approximately 4.2 cups in 1 liter.
Thus, the answer is about **4.2 cups** in 1 liter. The two valid conversion paths lead to this conclusion.
First, let's summarize what we know:
1. 1 gallon = 16 cups
2. 1 quart = 4 cups
3. 1 gallon = 3.79 liters
4. 1 quart = 0.95 liters
To find out how many cups are in 1 liter, we can find a path using the conversion factors.
### Conversion Paths to Consider:
1. **cups Right-arrow liters Right-arrow quarts**:
- This path does not work for solving how many cups are in 1 liter directly.
2. **liters Right-arrow quarts Right-arrow cups**:
- Start with 1 liter, convert to quarts (1 liter ≈ 1/0.95 quarts), and then convert quarts to cups (multiply by 4). This path can lead to the correct conversion.
3. **cups Right-arrow gallons Right-arrow liters**:
- This path goes the other way (cups to gallons to liters). It does not directly answer how many cups are in 1 liter.
4. **liters Right-arrow gallons Right-arrow cups**:
- Start with 1 liter, convert to gallons (1 liter ≈ 1/3.79 gallons), and then convert gallons to cups (multiply by 16). This path can also lead to the correct conversion.
### Conclusion:
The conversions that show a path to the solution are:
- **liters Right-arrow quarts Right-arrow cups**
- **liters Right-arrow gallons Right-arrow cups**
Now, let's calculate the exact number of cups in 1 liter:
Using the second valid conversion:
1 liter ≈ 1/0.95 quarts ≈ 1.0526 quarts.
Then, convert quarts to cups:
1.0526 quarts × 4 cups/quart ≈ 4.2104 cups.
Using the fourth valid conversion:
1 liter ≈ 1/3.79 gallons ≈ 0.2634 gallons.
Then, convert gallons to cups:
0.2634 gallons × 16 cups/gallon ≈ 4.214 cups.
On average, we find approximately 4.2 cups in 1 liter.
Thus, the answer is about **4.2 cups** in 1 liter. The two valid conversion paths lead to this conclusion.