Question

A milk plant employs 256 people. If 1/8 of the employees work in the lab, ½ work in the warehouse, and 3/16 produce bottled milk, what is the total number of people working in these areas?

a. 206
b. 99
c. 256
d. 208

Answer 1

Calculating the number of employees working in different areas of a milk plant by using the given fractions of a total of 256 employees, we find that 32 work in the lab, 128 work in the warehouse, and 48 work in bottled milk production. The sum of employees in these areas is 208.

Step-by-step explanation:

A milk plant employs 256 people. The question requires us to calculate the number of employees working in three different areas of the plant. We can break down the calculation into three parts based on the fractions given:

1. Lab workers: 1/8 of the employees work in the lab, so we multiply 256 by 1/8 to determine this number.
2. Warehouse workers: 1/2 of the employees work in the warehouse, so we multiply 256 by 1/2.
3. Bottled milk producers: 3/16 of the employees work in bottled milk production, so we multiply 256 by 3/16.

Let's calculate each:

• Lab workers: (1/8) * 256 = 32 workers
• Warehouse workers: (1/2) * 256 = 128 workers
• Bottled milk producers: (3/16) * 256 = 48 workers

Now, let's add these numbers together to find the total number of people working in these areas:

32 (lab) + 128 (warehouse) + 48 (bottled milk) = 208 employees

Therefore, the answer is d. 208.