# SOLUTION: I would like to receive help on this question: 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 a

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 Question 371767: I would like to receive help on this question: 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? I dont really know how to set this word problem up, and I'd be great if you explained it to me. Thanks:)Answer by ankor@dixie-net.com(15660)   (Show Source): You can put this solution on YOUR website!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 = 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?