A 2-column table with 3 rows titled Units of Capacity. Column 1 is labeled Customary System Units with entries 1 gallon, 1 quart, 1 cup. Column 2 is labeled Metric System Units with entries 3.79 liters, 0.95 liters, 0.237 liters.

How many centiliters are in 5 quarts?

quarts Right-arrow liters Right-arrow centiliters
StartFraction 5 quarts Over 1 EndFraction times StartFraction a Over b EndFraction times StartFraction c Over d EndFraction = 475 centiliters

a =
b =
c =
d =

1 answer

To convert 5 quarts to centiliters, we can follow a step-by-step conversion process using the relationships provided in the table and relevant conversion factors.

  1. Convert quarts to liters: From the table, we know that: \[ 1 \text{ quart} = 0.95 \text{ liters} \] Therefore, to convert quarts to liters, \[ 5 \text{ quarts} \times \frac{0.95 \text{ liters}}{1 \text{ quart}} = 4.75 \text{ liters} \]

  2. Convert liters to centiliters: We know that: \[ 1 \text{ liter} = 100 \text{ centiliters} \] Therefore, to convert liters to centiliters, \[ 4.75 \text{ liters} \times \frac{100 \text{ centiliters}}{1 \text{ liter}} = 475 \text{ centiliters} \]

Now we can fill in the variables \(a\), \(b\), \(c\), and \(d\) for the equation below: \[ \frac{5 \text{ quarts}}{1} \times \frac{0.95 \text{ liters}}{1 \text{ quart}} \times \frac{100 \text{ centiliters}}{1 \text{ liter}} = 475 \text{ centiliters} \]

From this, we can identify:

  • \(a = 0.95\)
  • \(b = 1\)
  • \(c = 100\)
  • \(d = 1\)

Thus, the values are: \[ a = 0.95, \quad b = 1, \quad c = 100, \quad d = 1 \]