Question

hot dogs are sold in packages of 10 and hot dog buns are sold in packs of 8 Tommy wants to know the least number of packs of hot dogs and buns he needs to buy so that he does not have any left over​

Answer 1

Answer:

4 packs of hotdogs, 5 packs of buns

Step-by-step explanation:

In this case, we need to find the LCM, least common multiple, of 8 and 10 to find the least number of packs of hot dogs and buns that Tommy needs to buy.

The LCM of 8 and 10 is the smallest number that is both divisible by 8 and 10. One way we can find this is by checking all the multiples of 10 in ascending order to see if they are divisble by 8:

10 is not divisible by 8

20 is not divisible by 8

30 is not divisible by 8

40 is divisible by 8!

Therefore, Tommy will need to by 40 buns and 40 hotdogs. Since buns come in packs of 8 and hot dogs come in packs of 10, we can divide to get the number of packs Tommy should buy respectively:

$40$÷$10=4$ packs of hotdogs

$40$÷$8=5$ packs of buns

Tommy will need to buy 4 packs of hotdogs and 5 packs of buns so that he does not have anything left over.

I hope this helps! Let me know if you have any questions :)