math

posted by .

Between 50 and 100 grade 7 students at school are having a bbq. Each student will receive one hot dog. Hot dogs come in packages of 12 and buns in packages of 8. How many students are in grade 7, if all the packages of hot dogs and buns purchased are used up?

• math -

It could be 72 or it could be 96.

• math -

how could it be 72 or 96, I am confused

• math -

Whatever number it is has to divide evenly both by 12 and by 8.

For example, could it be 80?

Well, that would use up exactly 10 packages of 8 buns, but would it use up exactly some number of packages of hot dogs?

So it can't be 80. And similarly, it can't be 50, or 81, or 95, or... because there would not be an even number of packages used for one or the other.

Now try the numbers Ms. Sue gave!

• math -

The lowest common multiple of 12 and 8 is 24
after that would come
48 72 96 120 ..

Now which lie between 50 and 100, the number of students ?

Ms. Sue is right.

Similar Questions

1. math

Are my answers right please? 1. Hot dogs come 10 to a package, and hot dog buns come 8 to a package. What is the smallest number of packages of each that Ms. Evans could buy so that there are no leftover hot dogs or buns?
2. math

1. Hot dogs come 10 to a package, and hot dog buns come 8 to a package. What is the smallest number of packages of each that Phillip could buy so that there are no leftover hot dogs or buns?
3. Math

Jack has 99 hot dogs and 261 hot dog buns. He wants to put the same number of hot dogs and hot dog buns on each tray. What is the greatest number of trays Jack can use to accomplish this?
4. Chemistry

For this picnic, you need to feed at least 300 people. If you want to feed everyone, but still have equal numbers of buns and hot dogs, what is the minimum number of packages of buns and hot dogs you need, respectively?
5. math

Can someone please help me? I don't know how to work this out, and my friends don't either. Eight hot dogs and ten buns come in separate packages. a. Is the number of hot dog packages proportional to the number of hot dogs?
6. math

Rohnda is in charge of buying food for the school picnic, she found that hot dogs are in packages of 24, buns in packages of 18, ketchup in boxes of 12, and mustard in boxes of 15. what is the least number of students that can be feed …
7. Math

Hot dogs come in packages of 6. Hot dog buns come in packages of 8. Antonio will buy the same number of hot dogs as hot dog buns. How many hot dogs could he buy?
8. Math

Hot dog buns come in packages of eight Mrs. Wilson has a total of 40 hot dog buns draw a picture to find out how many packages of hot dog buns Mrs. Wilson has
9. maths: Lowest common multiple

Hot dogs are sold in packages of 12 while hot dog buns are sold in packages of 8. Help me! Don't know what to do! (a) How many packs of each should you buy to have the same number of hot dogs and hot dog buns?
10. math

sam was buying hot dogs and hot dog buns for a backyard barbeque.hot dogs come in packs of 16 but buns come in packs of 12. how many packs of each will sam have to buy so that there are no hot dogs or buns left over?

More Similar Questions