The table shows conversions of common units of capacity.

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

Which expression can be used to find the number of liters in 15 quarts?
StartFraction 15 quarts Over 1 EndFraction times StartFraction 0.95 quarts Over 1 liter EndFraction
StartFraction 15 quarts Over 1 EndFraction times StartFraction 0.95 liters Over 1 quart EndFraction
StartFraction 15 quarts Over 1 EndFraction times StartFraction 1 liter Over 0.95 quarts EndFraction
StartFraction 15 quarts Over 1 EndFraction times StartFraction 1 quart Over 0.95 liters EndFraction

1 answer

To find the number of liters in 15 quarts using the conversion factor provided in the table, you need to multiply by the appropriate conversion factor that relates quarts to liters.

From the table, we know: 1 quart = 0.95 liters

To convert 15 quarts to liters, you will multiply 15 quarts by the conversion factor of 0.95 liters per quart:

\[ \frac{15 \text{ quarts}}{1} \times \frac{0.95 \text{ liters}}{1 \text{ quart}} \]

Thus, the correct expression to find the number of liters in 15 quarts is:

\[ \frac{15 \text{ quarts}}{1} \times \frac{0.95 \text{ liters}}{1 \text{ quart}} \]

So the answer is:

StartFraction 15 quarts Over 1 EndFraction times StartFraction 0.95 liters Over 1 quart EndFraction