I do not understand this problem, and I must write an inequality for it too: Nilsa is working on a 60 minute math test. There are 20 questions on the test. If it takes her 20 minutes to complete 12 of the questions, what is the greatest amount of time on average she can spend on each of the 8 remaining questions? I really do not understand what the inequality would be, and I have been stuck on this for 25 minutes already! Please help ASAP!

She has 40 minutes to complete the test.

8x < 40

Solve for x

60-20 > 8x

To solve this problem, let's break it down step by step:

Step 1: Determine the time Nilsa has already spent on the test.
From the problem statement, we know that Nilsa took 20 minutes to complete 12 questions. To find the total time she has already spent on the test, we can set up a proportion:

20 minutes / 12 questions = x minutes / 20 questions

Simplifying this proportion, we get:
x = (20 minutes / 12 questions) * 20 questions
= 33.33 minutes

Therefore, Nilsa has already spent approximately 33.33 minutes on the test.

Step 2: Determine the total remaining time.
Since the test is 60 minutes long and Nilsa has already spent 33.33 minutes, we can subtract the time spent from the total time to calculate the remaining time:

60 minutes - 33.33 minutes = 26.67 minutes

So, Nilsa has approximately 26.67 minutes remaining.

Step 3: Calculate the maximum time Nilsa can spend on each of the remaining 8 questions.
To find the maximum average time Nilsa can spend on each of the remaining 8 questions, we divide the total remaining time by the number of remaining questions:

26.67 minutes / 8 questions = 3.33 minutes

Therefore, Nilsa can spend a maximum of approximately 3.33 minutes on each of the remaining 8 questions.

Now, to write an inequality for this problem, we can use the average time spent on each question:

Let T be the average time Nilsa can spend on each of the remaining 8 questions.

The inequality would be: T ≤ 3.33 minutes.

This inequality ensures that Nilsa does not exceed the maximum time allowed per question to finish within the remaining time.