Janel walks for x minutes and runs for y minutes for a total of 30 minutes of exercise. Ramal walks for 3 times as long as Janel but runs for half of the time she does for a total of 40 minutes of exercise.
Is the system below correct for this situation? If not, why not?
x + y = 30
3x + 2y = 40
No she is incorrect because if you analyze the data set and try tog et an educated answer you have to start s different way
3 v + (1/2) y = 40
half is half, not twice
To determine whether the system of equations is correct for this situation, we need to analyze the information given.
Let's break it down step by step:
1. We are given that Janel walks for x minutes and runs for y minutes, for a total of 30 minutes of exercise. This equation can be represented as "x + y = 30."
2. We are also given that Ramal walks for 3 times as long as Janel. This means Ramal walks for 3x minutes. Additionally, Ramal runs for half the time Janel does. This means Ramal runs for 0.5y minutes. Therefore, we can represent Ramal's total exercise time as "3x + 0.5y."
3. Finally, we are told that the total exercise time for Ramal is 40 minutes, so we can set up the equation "3x + 0.5y = 40."
Now, comparing the two equations we have:
x + y = 30
3x + 0.5y = 40
We can see that the system of equations above is correct for this situation since it properly represents the exercise times for both Janel and Ramal.