Question 1121545
<br>
Box Y has half as many as box Z, so...<br>
let n = number in box Y
then 2n = number in box Z<br>
Since the total number in the three boxes is 300...<br>
then 300-3n = number in box X<br>
Now Bob takes 1/3 of the pens out of box X; the number now in box X is<br>
(300-3n)-(1/3)(300-3n) = 200-2n<br>
He also triples the number in box Y; the number now in box Y is 3n.<br>
We know that X and Y now have the same number, so<br>
200-2n = 3n
200 = 5n
n = 40<br>
The number now in boxes X and Y is 3n = 200-2n = 120.<br>
Then, since we know all three boxes now have the same number, the total now is 360.