To convert the amount of chicken stock from cups to quarts, we need to use the conversion factor between these two units. We know that:
[tex]\[ 1 \text{ quart} = 4 \text{ cups} \][/tex]
We have 9 cups of chicken stock and want to determine how many quarts this is equivalent to. To find this, we divide the number of cups by the number of cups per quart:
[tex]\[ \text{Number of quarts} = \frac{\text{Number of cups}}{\text{Cups per quart}} \][/tex]
Substituting the given values, we get:
[tex]\[ \text{Number of quarts} = \frac{9 \text{ cups}}{4 \text{ cups/quart}} \][/tex]
Performing the division:
[tex]\[ \text{Number of quarts} = 2.25 \text{ quarts} \][/tex]
In terms of a mixed number, we can express 2.25 quarts as:
[tex]\[ 2.25 \text{ quarts} = 2 \frac{1}{4} \text{ quarts} \][/tex]
Thus, the amount of chicken stock in quarts is:
[tex]\[ 2 \frac{1}{4} \text{ quarts} \][/tex]
So, the answer is:
[tex]\[ 2 \frac{1}{4} \text{ quarts} \][/tex]
