Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each student, one at a time, for Three-fourths of an hour, how many students does she tutor?

Question

A number line going from 0 to 6.

6
8
12
24

Answer 1

To determine how many students Lauren can tutor in 6 hours, we first convert the hours into a consistent unit: minutes. Since 1 hour is equal to 60 minutes, we can convert 6 hours into minutes:

\[ 6 \text{ hours} \times 60 \text{ minutes/hour} = 360 \text{ minutes} \]

Next, we need to calculate how many minutes each student takes. It is given that she tutors each student for three-fourths of an hour:

\[ \frac{3}{4} \text{ hour} \times 60 \text{ minutes/hour} = 45 \text{ minutes} \]

Now, to find out how many students Lauren can tutor, we divide the total minutes she's available (360 minutes) by the time spent on each student (45 minutes):

\[ \text{Number of students} = \frac{360 \text{ minutes}}{45 \text{ minutes/student}} = 8 \]

Thus, Lauren tutors 8 students.

The answer is 8.