During a field trip to a local soda manufacturing plant, students watched as 12 sodas were dispensed in 1.5 minutes. At this rate, how many minutes will it take to dispense 12 dozen sodas?

Answer 1

To determine how long it will take to dispense 12 dozen sodas at the rate observed during the field trip, we start with the information provided.

1. Convert dozen to individual sodas:

   • 1 dozen = 12 sodas, thus 12 dozen = \( 12 \times 12 = 144 \) sodas.

2. Determine the dispensing rate:

   • The plant dispenses 12 sodas in 1.5 minutes.

3. Calculate how many groups of 12 sodas are in 144 sodas:
   \[ \text{Number of groups} = \frac{144 \text{ sodas}}{12 \text{ sodas/group}} = 12 \text{ groups} \]

4. Calculate the time to dispense 12 groups:

   • Since 1 group takes 1.5 minutes to dispense, we multiply the number of groups by the time per group: \[ \text{Total time} = 12 \text{ groups} \times 1.5 \text{ minutes/group} = 18 \text{ minutes} \]

Therefore, it will take 18 minutes to dispense 12 dozen sodas.