Question 422281
<br>
You need to think more carefully about the equation you are writing to solve the problem.<br>
You write the following:<br>
{{{12.4/100=249.6/x}}}<br>
The "249.6/x" on the right is supposed to represent the fraction of his weight that he still has after losing some weight.<br>
But the "12.4/100" on the left does not represent the fraction of his weight that remains -- it represents the fraction of his weight <b>THAT HE LOST</b>.<br>
If he lost 12.4% of his weight, the fraction of his weight that remains is 100-12.4 = 87.6%.  So your equation is...<br>
{{{87.6/100=249.6/x}}}<br>
Then...<br>
{{{24960=87.6x}}}<br>
{{{x=24960/87.6}}} = 284.9 (approximately)<br>
ANSWER: approximately 284.9 pounds<br>