Question

Hotdogs come in packages of 10, while rolls come in either 8 or 12. What is the smallest number of packages of each you have to buy in order to have the same number of hotdogs and rolls?
Please explain the answer.

Answer 1

if the rolls come in 8

then we check which multiples 8 and 10 have in common which is 40

8,16,24,32,40

10,20,30,40

which is 5 packages of rolls and 4 pack of hot dogs

if the rolls are 12

we check the multiples which they have in common

12,24,36,48,60

10,20,30,40,50,60

which is 5 packages of rolls and 6 pack of hot dogs

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