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 24 laps?
They will walk 7 laps and run 17 laps.
They will walk 15 laps and run 9 laps.
They will walk 9 laps and run 15 laps.
They will walk 6 laps and run 18 laps.
To find the number of laps the participants will walk and run if the total distance is 24 laps, we need to solve for A, B, C, and D in the given table.
From the table, we can see that A = 3 + 5 = 8.
Also, C = 15 + 10 = 25.
To find B and D, we subtract the total laps (40) from A and C, respectively.
So, B = 40 - 8 = 32, and D = 40 - 25 = 15.
Therefore, the participants will walk 8 laps and run 15 laps if the total distance is 24 laps.
Thus, the correct answer is: They will walk 8 laps and run 15 laps.
To determine the number of laps the participants will walk and run if the total distance is 24 laps, we need to solve the given table equation for A, B, C, and D.
From the table, we know the following:
Eq. 1: Walk + Run = Total -> A + C = 40
Eq. 2: Walk = 3 + B
Eq. 3: Run = 5 + 10
Eq. 4: Total = 15 + D
Substituting Eq. 2, Eq. 3, and Eq. 4 into Eq. 1, we get:
(3 + B) + (15 + 10) = 40
B + 28 = 40
B = 40 - 28
B = 12
Substituting B = 12 into Eq. 2, we get:
Walk = 3 + 12
Walk = 15
Substituting B = 12 into Eq. 3, we get:
Run = 5 + 10
Run = 15
Now we have the values for Walk and Run. Adding them together, we get:
Walk + Run = 15 + 15 = 30 laps
Since the total distance is given as 24 laps, the correct answer is:
They will walk 6 laps and run 18 laps.