Question 371767
Frank weighs 160 pounds and is on a diet to gain two pounds a week so that he
 can make the football team.
 John weighs 208 pounds and is on a diet to loose three pounds a week so that
 he can be in the wrestling team in a lower wight class.
?. If Frank and John can meet these goals with their diets, when will they
 weigh the same, and how much will they weigh at that time?
:
Since one is gaining and the other is losing, there will be a day when they both
weigh the same;
Let d = the number of dieting days for this happen.
:
Frank gains 2 lb a day or a total of 2d lbs
John loses 3 lb a day for a total of 3d lbs
:
An equation for this:
:
John's weight = Frank's weight
208 - 3d = 160 + 2d
do some basic algebra
208 - 160 = 2d + 3d
48 = 5d
d = {{{48/5}}}
d = 9.6 dieting days, they will weight the same
:
How much will they weigh?
:
Using John's equation
weight = 208 - 3(9.6)
w = 208 - 28.8
w = 179.2 lbs
:
Check this using Frank's equation (should be the same if we did it right)
w = 160 + 2(9.6)
w = 160 + 19.2
w = 179.2 lbs
:
:
How about this? Did I make it understandable to you?