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\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Units of Capacity } \\
\hline \begin{tabular}{c}
Customary \\
System Units
\end{tabular} & Metric System Units \\
\hline 1 gallon & 3.79 liters \\
\hline 1 quart & 0.95 liters \\
\hline 1 cup & 0.237 liters \\
\hline
\end{tabular}

How many deciliters are equivalent to 5 cups?

A. 2.1097 deciliters

B. 11.85 deciliters

C. 118.5 deciliters

D. 210.97 deciliters


Sagot :

To convert the quantity of cups to deciliters, we need to follow a series of conversions.

### Step 1: Understanding the Given Conversion Rate
Firstly, we look at the given rate for the customary system to the metric system:

1 cup = 0.237 liters

### Step 2: Converting Cups to Liters
We are given 5 cups and we need to convert these cups into liters.

5 cups [tex]\(\times\)[/tex] 0.237 liters per cup = 1.185 liters

### Step 3: Converting Liters to Deciliters
Next, we need to convert the quantity from liters to deciliters. We know that:

1 liter = 10 deciliters

So, to find the equivalent in deciliters:

1.185 liters [tex]\(\times\)[/tex] 10 deciliters per liter = 11.85 deciliters

### Conclusion
After performing the conversions step-by-step, we find that:

5 cups are equivalent to 11.85 deciliters.

Thus, the correct answer is:
11.85 deciliters