Question

Stephan has been gaining weight at 1.5 pounds a week from his original weight of 120 pounds. Seth is losing weight at 2.5 pounds a week from his original weight of 184 pounds. How much will Seth and Stephan weigh when they are the same weight?

Answer 1

They will both weight 144 pounds when they are the same weight.

How to find how much they will weigh when they are the same weight?

Stephan has been gaining weight at 1.5 pounds a week from his original weight of 120 pounds.

let

the number of weeks = x

Therefore,

y = 120 + 1.5x

Seth is losing weight at 2.5 pounds a week from his original weight of 184 pounds.

Therefore,

y = 184 - 2.5x

Hence,

120 + 1.5x = 184 - 2.5x

120 - 184 = -2.5x - 1.5x

- 64 = - 4x

x = -64 / -4

x = 16

y = 120 + 1.5(16) = 120 + 24 = 144

y = 184 - 2.5(16) = 184 - 40 = 144

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