Department started out with 100 pencils and 200 pens during the lat quarter of this year they lost 4% of the pens and 2% of the pencils what is the what is the remaining of the pencil and pans at the end of the year

The remaining number of the pencil   =  98

The remaining number of the pens  =  192

Step-by-step explanation:

Here, according to the question:

The number of pencils at the starting at the quarter = 100

The percentage of the lost pencil over the year = 2%

Now, calculating the lost pencil, we get:

2% of 100 =

⇒The number of lost pencil over the year = 2

So,Number of remaining Pencil = Total pencil - Number of pencil lost

                                                       = 100 - 2 = 98

The number of pens at the starting at the quarter = 200

The percentage of the lost pens over the year = 4%

Now, calculating the lost pens, we get:

4% of 200 =

⇒The number of lost pens over the year = 8

So,Number of remaining Pens = Total pens - Number of pens lost

                                                       = 200 - 8 = 192

Hence, the remaining number of the pencil   =  98

And and the remaining number of the pens at the end of the year  = 192

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!