Question

Brian has no more than 16 coins. They comprise of both nickels and dimes. There are at least four times as many nickels as there are dimes. Which of the following is a system of inequalities that describes this situation?

Answer 1

Help me?

Answer 2

@radar ?

Answer 3

@radar Did you fall asleep on the keyboard?

Answer 4

I am reading it and trying to make some sense of it:
One thing that it is stating is the sum of the number of nickels and dimes is less than 16.
So n + d < 16 , where n is number of nickels and d is the number of dimes. But there is more that must be considered. But, are you with me so far?

Answer 5

Yes.

Answer 6

No lol, I just had a nap.

Answer 7

Oh okay lol

Answer 8

Oh they are also stating that 4n=d four times the number of nickels as their are dimes. Now let see how this little bit of information is used.

Answer 9

Okie dokie.

Answer 10

Well I guess it could look like this 4n + d < 16. Let us assume an example
if he had 3 dimes and 12 nickels he would have less then 15. That is an example of a scenario that falls within the inequality. However if he had 4 dimes and 16 nickels that could not be a possibility as he has 20 coins and that is a no no, (more than 16)

Answer 11

So the answer would be?

Answer 12

change the 15 to 16. (typo)
the answer would be 4n + d < 16

Answer 13

What are the options?

Answer 14

You say following systems, what are the systems?

Answer 15

\[A: D+N \le16 4D \le N or B: D+N \ge16 4D \ge Nor C:D+N \le16 4D \le-Nor D:D+N \le16 $D geN\]n

Answer 16

It is not B,
it is not C
It is A as the statement says there are at least 4 times the number of nickels than dimes. I misread it, I thought it said there were 4 times the number of nickels than dimes
Actually I would think the best answer would be:
D + N < 16 and4N <=D

Answer 17

Was there a choice D?

Answer 18

\[D: D+N \le 16 and 4D \ge N\]

Answer 19

Hello?

Answer 20

No question that the \[D + N \le16\] part is correct . But I am getting twisted on the "there are at least four times as many nickels as dimes" I guess they are saying there could be as many as 4, 3, 2, 1 times but not more than four......so \[D \le4N\] But do you have an option that combines those two?

Answer 21

No.

Answer 22

I think A is saying the same thing in a different manner.

Answer 23

So it's A?

Answer 24

Sorry I can not be more definitive, but I like A

Answer 25

I couldn't see all of C. What is choice C.? I think I see a minus sign.

Answer 26

I turned it in already.

Answer 27

\[-D \ge-4n\] is the same as the way I expressed Maybe that is what option C had, I couldn't read option C.

Answer 28

Okay.

Answer 29

Was A correct?

Answer 30

Or which one did you select?

Answer 31

I don't remember lol