Question

4. All the factory workers in a steel mill either purchased their breakfast in the company cafeteria or brought their breakfast from home on Wednesday. 26% of the factory workers purchased their breakfast. 148 brought their breakfast from home. How many factory workers are employed at the steel mill? A. 148 B. 174 C. 200 D. 569 .​

Answer 1

There are 200 factory workers employed at steel mill.

Explanation:

Let the total number of workers employed at steel mill be 'x'.

Now Given:

Percentile Number of workers purchased breakfast = 26%

So we can say that;

Number of workers purchased breakfast =
`(26)/(100)x=0.26x`

Also Given:

Number of workers brought breakfast from home = 148

Solution:

Now we can say that;

total number of workers employed at steel mill is equal to sum of Number of workers purchased breakfast and Number of workers brought breakfast from home.

framing in equation form we get;

`x=0.26x+148`

Combining the like terms we get;

`x-0.26x=148`

`0.74x=148`

Dividing both side by 0.74 we get;

`(0.74x)/(0.74) =(148)/(0.74)`

`x=200`

Hence There are 200 factory workers employed at steel mill.