Question

9. During the past week, Mr. Hamilton gave one quiz and one exam to his high school algebra class.

Answer 1

Missing Information:

It takes Mr. Hamilton 1/15  of an hour to grade one student’s exam and 1/30  of an hour to grade one  student’s quiz.

Answer:

$Total\ Time = \frac{x}{10}$

Step-by-step explanation:

Given

$Exam = \frac{1}{15}hr$

$Quiz = \frac{1}{30}hr$

Required

Determine the time spent on x students

First, we need to determine the total time spent on 1 student

$Time = Exam + Quiz$

$Time = \frac{1}{15} + \frac{1}{30}$

Take LCM

$Time = \frac{2 + 1}{30}$

$Time = \frac{3}{30}$

$Time = \frac{1}{10}$

Next is to determine the total time on x students:

$Total\ Time = \frac{1}{10} * x$

$Total\ Time = \frac{x}{10}$