Final answer:
Erin can give each employee 2 tickets of Type 1 and 2 tickets of Type 2. This leaves 24 Type 1 tickets and 7 Type 2 tickets leftover, which Erin can distribute in another fair manner.
Step-by-step explanation:
Erin has bought a total of 155 lottery tickets, with 86 of one type and 69 of another type. With 31 employees and the wish to give each person 5 tickets, we need to evenly distribute these two types of tickets to each person. To ensure that each employee gets an equal number of each type, we can calculate the number of each ticket type per person using division.
Number of employees: 31
Total tickets per employee: 5
The total number of tickets is 155, which means Erin can distribute 155 / 31 = 5 tickets per employee.
Since there are two types of tickets, we need to divide the number of each ticket type by the number of employees:
- Type 1 tickets per person: 86 / 31 = 2 (with 24 tickets leftover)
- Type 2 tickets per person: 69 / 31 = 2 (with 7 tickets leftover)
Erin can therefore give each employee 2 tickets of Type 1 and 2 tickets of Type 2. The remaining tickets (24 of Type 1 and 7 of Type 2) can either be distributed randomly or according to some other fair method.