The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk and run if the total distance is 32 laps?
They will walk 7 laps and run 17 laps.
They will walk 12 laps and run 20 laps.
They will walk 14 laps and run 18 laps.
They will walk 10 laps and run 22 laps.
Let's label the unknown values as follows:
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
We know that the total distance is 32 laps, so we can set up the equation:
A + C = 32
We also know that the participants walked 3 laps and ran 5 laps, so we can set up another equation:
3 + 5 = A
Simplifying this equation:
8 = A
Now we can substitute the value of A into the first equation:
8 + C = 32
Simplifying further:
C = 24
So the participants will walk 8 laps (A) and run 24 laps (C) if the total distance is 32 laps.
Therefore, the correct answer is: They will walk 8 laps and run 24 laps.
To find out how many laps the participants will walk and run if the total distance is 32 laps, we can set up the equations:
3 + 5 = A (Equation 1)
15 + 10 = C (Equation 2)
A + C = 40 (Equation 3)
Now, we can solve these equations to find the values of A and C.
From Equation 1: A = 8
From Equation 2: C = 25
Substituting these values into Equation 3: 8 + 25 = 33
So, the total distance in the given table is not 32 laps, it is 33 laps.
Therefore, none of the given options are correct.