Question

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 =

Answer 1

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:
\[
a = 0.95, \quad b = 1, \quad c = 100, \quad d = 1
\]