Question 104887
Let x=the rate that the diet eliminates the fat(weight)
    y=his original weight

After 15 days, he has lost 15x lb
__________________________________{{{y-15x=176}}}_______________________________
______________________________________{{{y=15x+176}}}___________________________

After 45 days, he lost 45x lb
___________________________________{{{y-45x=170}}}______________________________
_______________________________________{{{y=45x+176}}}__________________________


If {{{y=45x+170}}} and {{{y=15x+176}}}, then


{{{45x+170=15x+176}}}
{{{45x-15x+170=15x-15x+176}}}
{{{30x+170=176}}}
{{{30x+170-170=176-170}}}
{{{30x=6}}}
{{{x=6/30  or  1/5}}}

This means that he loses 1/5 of a pound each day!!! What a diet!

But,
____________________________{{{y=45x+170}}}____________________________________

And,
_______________________________{{{x=1/5}}}_____________________________________

Thus,
____________________________{{{y=45(1/5)+170}}}_________________________________
____________________________{{{y=9+170=179}}}!!_________________________________

He weighed a whopping 179 lb at the beginning!


NOw,let z=the no. of days required for him to be 165 pounds heavy.


After z days, he will lose x*z pounds.

___________________________{{{179-z/5=165}}}____________________________________

NOTE: I have subsituted x=1/5 and y= 179 already to avoid confusion about the three variables.

Continuing,

__________________________{{{5*(179-z/5)=5*165}}}_______________________________
________________________________{{{895-z=825}}}_________________________________
____________________________________{{{z=895-825=70}}}!!!


He will wait for 70 days to be 165 lb!!!


Poer up,
HyperBrain!