Using Multiples

Luckygal

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Apr 29, 2012
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A group of Grade 7 students expect to sell between 275 and 300 hot dogs at a baseball tournament. How many packages of 12 weiners and 8 buns should the students buy if they want every bun to have a matching weiner
.

Please help I don't know how to get the answer to this question.
 
A group of Grade 7 students expect to sell between 275 and 300 hot dogs at a baseball tournament. How many packages of 12 weiners and 8 buns should the students buy if they want every bun to have a matching weiner
.

Please help I don't know how to get the answer to this question.

The minimum number would be 2 packs of weiners and 3 packs of buns - that will make 24 hotdogs.

Now how many of these "24"s would you need to sell - to be between 275 and 300?

There is only one number between 275 and 300 - that is multiple of 24.

What is it?

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.
 
they want every bun to have a matching weiner

This is just another way of saying that the students do not want any extra buns left over after using all of the wieners. They want to buy exactly the same number of wieners and buns.

The "minimum number" mentioned by Subhotosh is the smallest number of wiener packages and the smallest number of bun packages that together provide equal wieners and buns.



The following questions lead to a different approach.

What are the possible numbers of packages that the students could buy to obtain 275-300 wieners?

In each of these cases, how many total wieners do they get?

For each of these possible wiener counts, how many packages of buns would provide exactly the same number?

PS: Denis made a funny joke.
 
A group of Grade 7 students expect to sell between 0 and 1 hot dog at a cricket tournament .......

They would not dream of selling hot-dog with ketchup at the cricket match - too much of a "bloody-wiener". Cricket is a gentleman's game - you know. We eat sandwiches with our pinky up.....
 
If meat packers and bakers were not so stubborn, this exercise would not even be a problem. ;)
 
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