There were some green and blue pens in a box. If 27 green pens were taken out of the box, there would be 1/3 as many blue pens as green pens. If 40 blue pens were added into the box, there would be 1/2 as many blue as green pens. How many pens were there in the box?

Guest Sep 28, 2021

#1**0 **

Let us consider that there were x blue pens and y green pens in the box.

Given that if 27 green pens were taken out of the box, there would be 1/3 as many blue pens as green pens. Then we have

x = (y-27)/3

This gives 3x - y = -27..............(1)

Also if 40 blue pens were added into the box, there would be 1/2 as many blue as green pens. Then we have (x+40) = y/2.

This gives 2x - y = -80................(2)

Now subtracting (2) from (1),

we have x = 53

From (1) we have y = 186.

Therefore, there was 53 blue pens and 186 green pens in the box.

Guest Dec 5, 2021