There are 1 cent, 2 cent, 5 cent, 10 cent, 25 cent, 50 cent, 100 cent & 200 cent....

[chrissyz]

There are 1 cent, 2 cent, 5 cent, 10 cent, 25 cent, 50 cent, 100 cent & 200 cent....

I've been having some issues with the problem for a while now and would be very grateful for any help.

There are various coins in a box. There are 1 cent, 2 cent, 5 cent, 10 cent, 25 cent, 50 cent, 100 cent and 200 cent coins.
There are 260 coins and its total value is 2011 cent.

How many of each coin are there? ie how many 1 cent, 2 cent etc.

You could start by calculating the total worth in cent if there is 1 of each coin. What conclusion do you draw?

Investigate what happens if you have twice as many 1 cent coins as 2 cent coins, twice as many 50 cent coins and 1 cent coins etc.

Thank you!

 

[ksdhart]

You could start by calculating the total worth in cent if there is 1 of each coin. What conclusion do you draw?

Investigate what happens if you have twice as many 1 cent coins as 2 cent coins, twice as many 50 cent coins and 1 cent coins etc.

I'm guessing that these two lines were hints from your teacher/instructor. Did you use the advice? What did you find out? As another hint, think about the maximum number of each coin you could have. For instance, what happens if you have ten 200-cent coins? Well, you're not over the limit yet, there are eleven cents left to work with. However, remember that you were told the total number of coins in the box too. If ten of the coins are 200-cent pieces, then how many are left for the other types? Can you make eleven cents out of that many coins? So, what did you learn from that?

If you're still stuck, please include all of your steps and show all of your work when you reply back. After all, your attempts might be almost to the answer, but we'll never know unless you tell us.

 

[Ishuda]

I've been having some issues with the problem for a while now and would be very grateful for any help.

There are various coins in a box. There are 1 cent, 2 cent, 5 cent, 10 cent, 25 cent, 50 cent, 100 cent and 200 cent coins.
There are 260 coins and its total value is 2011 cent.

How many of each coin are there? ie how many 1 cent, 2 cent etc.

You could start by calculating the total worth in cent if there is 1 of each coin. What conclusion do you draw?

Investigate what happens if you have twice as many 1 cent coins as 2 cent coins, twice as many 50 cent coins and 1 cent coins etc.

Thank you!

To me, this is a 'play with numbers' exercise as indicated by the 'you can start' and 'Investigate what happens'. What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

 

[stapel]

There is a box full of coins. There are 1 cent, 2 cent, 5 cent, 10 cent, 25 cent, 50 cent, 100 cent and 200 cent coins. There are 260 coins and a total value of 2011 cents. - How many of each coin are there if you know that there is at least 1 of each coin? - You could start by calculating the total worth in cent if there is one of each coin. Whats the conclusion? - What happens if you have twice as many 100 cent coins as 200 cent coins and twice as many 50 cent coins as 100 cent coins etc? Thanks!

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

Please be complete. Thank you!