Hot dogs come in packages of 8,and
rolls come in packages of 6. What is
the smallest number of each that you
can buy so there are no extras?
3 packages of hotdogs = 24
4 packages of buns = 24
To find the smallest number of hot dogs and rolls so that there are no extras, we need to find the least common multiple (LCM) of 8 and 6. The LCM is the smallest number that is divisible by both 8 and 6 without leaving a remainder.
To find the LCM, we can multiply the two numbers and then divide by their greatest common divisor (GCD). In this case, the GCD of 8 and 6 is 2.
LCM = (8 * 6) / GCD(8, 6)
= (48) / 2
= 24
Therefore, you would need to buy 24 hot dogs (in packages of 8) and 24 rolls (in packages of 6) so that there are no extras.