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

Question

2 years ago

14

a week from his original weight of 184 pounds. How much will Seth and Stephan weigh when they are the same weight?

1 answer:

notka56 [123] · Answer 1 · 2023-11-24T05:32:14+03:00

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

<h3>How to find how much they will weigh when they are the same weight?</h3>

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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