Final answer:
To find the number of cups of coffee consumed during the meeting, you need to find the difference between the initial amount of coffee and the amount left after the meeting. Convert the remaining amount to quarts and subtract it from the initial amount of coffee. Finally, convert the result to cups.
Step-by-step explanation:
To find the number of cups of coffee consumed during the meeting, we need to find the difference between the initial amount of coffee and the amount left after the meeting. Convert the units as necessary to match them for subtraction.
Given that there are 9 quarts of coffee initially, we need to convert the remaining amount of 2 pints and 1 cup to quarts.
Since there are 2 pints in 1 quart and 1 cup is equal to 0.25 quarts, the remaining amount is equal to 2(1/2) quarts + 0.25 quarts = 1.75 quarts. Now, we can subtract the remaining amount from the initial amount of coffee:
9 quarts - 1.75 quarts = 7.25 quarts.
Finally, convert 7.25 quarts to cups by multiplying by the conversion factor 4 cups/1 quart:
7.25 quarts * 4 cups / 1 quart = 29 cups.
Therefore, 29 cups of coffee were consumed during the meeting.