The table shows conversions of common units of capacity.

Question

Units of Capacity
Customary System Units
Metric System Units
1 gallon
3.79 liters
1 quart
0.95 liters
1 cup
0.237 liters

1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts

Which shows the best path to convert 100 liters to pints?
liters Right-arrow cups Right-arrow pints
liters Right-arrow kiloliters Right-arrow pints
pints Right-arrow gallons Right-arrow liters
pints Right-arrow quarts Right-arrow liters

Answer 1

To determine the best path to convert 100 liters to pints using the given conversion factors, let's break down the options:

1. liters → cups → pints

   • Convert liters to cups: \( 100 \text{ liters} \times \frac{1 \text{ cup}}{0.237 \text{ liters}} = 421.1 \text{ cups} \) (approx.)
   • Convert cups to pints: \( 421.1 \text{ cups} \times \frac{1 \text{ pint}}{2 \text{ cups}} = 210.55 \text{ pints} \) (approx.)

2. liters → kiloliters → pints

   • Convert liters to kiloliters: \( 100 \text{ liters} = 0.1 \text{ kiloliters} \)
   • Convert kiloliters to pints: (1 kiloliter = 1,000 liters, 1 pint = 0.473 liters)
     • \( 0.1 \text{ kiloliters} \) equals \( 100 \text{ liters} = \frac{100}{0.473} \text{ pints} \approx 211.1 \text{ pints} \) (not the simplest method).

3. pints → gallons → liters

   • This path does not start with liters and is not a correct conversion path.

4. pints → quarts → liters

   • This path does not start with liters and is not a correct conversion path.

Based on the conversions calculated, the best path for converting 100 liters to pints is the first one:

liters → cups → pints.