An algebra problem by Jeby Oommen

Algebra Level pending

Out of two hundred cows in a farm, 99% are white. How many white cows must be removed to reduce it to 98%?

2 solutions

Jeby Oommen
Feb 19, 2017

Let x be the number of white cows that has to be removed.

98% * (200 - x) = 198 - x | 19600 - 98x = 19800 - 100x | 2x = 200 | x = 100

Most common answer for this question is 2. 100 appears to be a strange answer since the difference in count is 100 for a small difference of 1%.

Yes, it is a surprising answer. And it would take the removal of another 50 white cows to only reduce it to 96%.

Brian Charlesworth - 4 years, 3 months ago

Ma Pm
Feb 19, 2017

198+2=200;(total1)99%; x+2=y;(total2); y=200-x; x=0,98(y-2); x=0,98(200-x-2); x=98;98%; 198-98=100;