Jon weighs 148 lbs and hopes to gain 2 lbs a week. Matt weighs 193 lbs and hopes to lose 1 lb a week. How many weeks until they weigh the same?
148 + 2x = 193 - 1x
2x + 1x = 193 - 148
3x = 45
(Divide)
\(\frac{3x}{3}\) = \(\frac{45}{3}\)
x = 15
It will take 15 weeks until Jon and Matt weigh the same.
Answer:
In 15 weeks, Jon and Matt would have same weight.
Step-by-step explanation:
We are given the following information in the question:
Let x be the weeks after Jon and Matt have same weight.
Jon's weight = 148 lb
He gains 2 lb every week.
Then weight of Jon in x weeks would be given by the equation:
\(148 + 2x\)
Matt's weight = 193 lb
He looses 1 lb every week.
Then weight of Matt in x weeks would be given by the equation:
\(193 - x\)
Then, according to the question:
\(148 + 2x = 193 - x\\ 3x = 45\\x = 15\)
Thus, in 15 weeks, Jon and Matt would have same weight.