word problem

[afcollins18]

Suppose you have a pocket full of quarters, dimes, nickels, and pennies. And, no matter how many of them nor what combination of them that you have, you are unable to make exact change for a $1.00 bill. Determine the maximum possible total value of all the coins in your pocket. It is not $0.99.
I cannot find another combination other than $.99.

 

[mmm4444bot]

Please show us something that you have already tried.

 

[afcollins18]

Stuck

I just tired to add up the coins individually. I do not know a formula to try.

 

[afcollins18]

Okay, thanks, but how do you get 1.14?

 

[afcollins18]

I do see that, but nickels are in the combination of coins in your pocket, right?

 

[afcollins18]

Light went on! Yes, I do see that. FYI, "It is not $0.99" is part of the problem. Thanks to everyone for the help.

 

[mmm4444bot]

Suppose you have a pocket full of quarters, dimes, nickels, and pennies

This statement tells us that there are quarters, dimes, nickels, and pennies in the pocket.

 

[afcollins18]

Okay, so we back to including the nickels. that is where the problem becomes tricky.:?

 

[afcollins18]

Suppose you have a pocket full of quarters, dimes, nickels, and pennies. And, no matter how many of them nor what combination of them that you have, you are unable to make exact change for a $1.00 bill. Determine the maximum possible total value of all the coins in your pocket. It is not $0.99.


This is the word problem; word for word.

 

[mmm4444bot]

With respect to whether the pocket contains at least two of each type coin listed, there is nothing ambiguous about the phrase "a pocket full of quarters, dimes, nickels, and pennies".

First, the student learns that there are at least two nickels; then, the student must unlearn this to make sense of the exercise.

 

[mmm4444bot]

when not specified, then 0 is I think acceptable

Totally agree.

 

[mmm4444bot]

[Mark] is smarter than I am

I cannot accept this blanket statement.

How about fussier? More discriminating? More conscientious? Fastidious? Opinionated? Picky-picky? LOUDER?

I can accept these.

At the beginning of each new school year, I deal with a barrage of lousy communications from lousy "instructors".

I'll settle down, soon.

 

[mmm4444bot]

Fastidious? Ha!

If so, you'd clean up my proof.

I forgot to mention indolence.

 

[lookagain]

An equivalent to the following question should instead be the exercise:


"Using some combination (s) of quarters, dimes, nickels, and pennies only,
what is the largest total amount of money possible where exact change
for one dollar cannot be given?"

3 quarters
4 dimes
0 nickels
4 pennies
------------
$1.19


This stated problem does not require at least one of each coin.

----------------------------------------------------------------------


Or it could be a variation:


"Using some combinations of U.S. coins all less than a dollar, what is
the largest amount of money possible that you can't give change for
a dollar?"


1 half dollar
1 quarter
4 dimes
0 nickels
4 pennies
--------------------
$1.19

 

[mmm4444bot]

Got change for a buck?

Loonie alert!