For Nina's illness her doctor gives her a prescription for 28 pills. The doctor says that she should take 4 pills the first day and then 2 pills each day until her prescription runs ... How many pills should she take at the end of the 2nd day? ... So how many days will it take for Nina to run out the pill if she takes it as the doctor says.

Please explain in a word problem. I don't understand how to set up one and solve it. Thanks in advance!

4 + 2x = 28

Solve for x.

x=12

To find out how many pills Nina should take at the end of the 2nd day, we need to determine the total number of pills she should have taken by that point.

On the first day, she takes 4 pills. On the second day, she takes 2 pills. So, by the end of the 2nd day, she would have taken a total of 4 + 2 = 6 pills.

Now, let's determine how many days it will take for Nina to run out of pills if she follows the doctor's instructions.

Each day, Nina takes 2 pills until her prescription runs out. Since the prescription is for 28 pills, she takes 2 pills each day for a total of 28/2 = 14 days.

Therefore, it will take Nina 14 days to consume all the pills if she follows the doctor's instructions.

To solve this problem, let's break it down into two parts:

Part 1: How many pills should Nina take at the end of the 2nd day?
Nina is instructed to take 4 pills on the first day, and then 2 pills each subsequent day. Therefore, on the 2nd day, she would take 4 pills on the first day plus 2 pills on the second day. This totals to 4 + 2 = 6 pills that Nina should take at the end of the 2nd day.

Part 2: How many days will it take for Nina to run out of pills?
Nina starts with a prescription of 28 pills. On the first two days, she takes a total of 6 pills combined. From the 3rd day onward, she will continue taking 2 pills each day until she runs out of pills. To determine how many days it will take, we need to subtract the pills she has already taken (6) from the total number of pills (28). This gives us 28 - 6 = 22 pills remaining. Since Nina takes 2 pills each day, it will take 22 / 2 = 11 days for Nina to run out of pills.

So to summarize:
- Nina should take 6 pills at the end of the 2nd day.
- It will take 11 days for Nina to run out of pills if she follows the doctor's instructions.