At a baseball stadium, every eighth person received a coupon for free popcorn. Every thirtieth person received a free hot dog. WHich person was the first to receive both free gifts?
y=-x
x+y=3
least common multiple
8 = 2*2*2
30 = 5*2*3
so we need a 5, 3 twos, and a 3
so
120
thanks
To find the first person to receive both free gifts, we need to determine the least common multiple (LCM) of 8 and 30. The LCM is the smallest number that both 8 and 30 divide into evenly.
To find the LCM of 8 and 30, we can list the multiples of each number and look for the smallest common multiple:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, ...
Multiples of 30: 30, 60, 90, 120, ...
From the list, we can see that the first multiple that appears in both lists is 120. Therefore, the first person to receive both free gifts is the 120th person.