Answer :
Ryan and Carlos will weigh the same after 11 weeks, and they will each weigh 162 pounds.
We need to set up two linear equations and find the point where they intersect. Since Ryan starts at 140 pounds and gains two pounds per week, his weight can be represented by the equation y = 2x + 140, where y is his weight after x weeks. Carlos starts at 195 pounds and loses three pounds per week, which can be represented by the equation y = -3x + 195.
To find when they will weigh the same, we set the two equations equal to each other:
2x + 140 = -3x + 195
Combining like terms, we get:
2x + 3x = 195 - 140
5x = 55
Dividing both sides by 5, we find that x = 11. So Ryan and Carlos will weigh the same after 11 weeks.
To find the weight they will both be at that time, we can substitute x back into either of the original equations:
y = 2(11) + 140 = 22 + 140 = 162 pounds
Therefore, after 11 weeks, both Ryan and Carlos will weigh 162 pounds.
Answer:
In 11 weeks they will both be 162lbs each
Step-by-step explanation:
