Answer:
a) 70th person
b) 2 people
Step-by-step explanation:
Requirement a)
To find the first person to get both a gift card and a free ticket, we have to use Least common multiples (L.C.M) of 10 and 14.
10 = 2 x 5
14 = 2 x 7
Therefore, the L.C.M of 10 and 14 is = 2 x 5 x 7 = 70
It means the first person will be the 70th person to win both a gift card and a free theater ticket.
Requirement b)
The required number of people to receive both the gifts will be the total number of people in line divided by the first person to achieve the feet.
Therefore,
When there are 70 people in line, both gifts to get by one person
When there are 1 people in line, both gifts to get by 1/70 person
When there are 200 people in line, both gifts to get by 200/70 person = 2.86 people (3 people).
However, since the number of people is 200, the next person to get the gifts will be 210. So, two people will receive both offerings.
