Question

If the machine can process 600 pretzels in 15 minutes, how long must the machine run to make 3,120 pretzels?

a) 78 minutes
b) 78.4 minutes
c) 78.5 minutes
d) 78.6 minutes

Answer 1

To find how long the machine must run to make 3,120 pretzels, we calculate the rate of pretzels per minute and then divide the total number of pretzels by this rate to get 78 minutes.

Step-by-step explanation:

The student is asking about the amount of time needed for a machine to produce a certain number of pretzels. Since it's stated that the machine can process 600 pretzels in 15 minutes, we need to calculate how long it will take to produce 3,120 pretzels.

First, we determine the rate of production per minute:

600 pretzels / 15 minutes = 40 pretzels per minute

Next, we use the rate to find the time required for 3,120 pretzels:

3,120 pretzels / 40 pretzels per minute = 78 minutes

This means option a) 78 minutes is the correct answer.