Answer:
C. 19 cars; 19 motorcycles
Step-by-step explanation:
Let c represent the number of cars and m represent the number of motorcycles that participated this year.
This year a total of 38 vehicles participated. So, we can write the equation as:
c + m = 38 (Equation 1)
Each car has 4 tires, so number of tires in c cars will be 4c.
Each motorcycle has 2 tires, so number of tires in m motorcycles will be 2m.
In total there were 114 tires, so we can set up the equation as:
4c + 2m = 114 (Equation 2)
From equation 1, m = 38 - c. Using this value in Equation 2, we get:
4c + 2(38 - c) = 114
4c + 76 - 2c = 114
2c = 114 - 76
2c = 38
c = 19
Using this value in equation 1, we get:
19 + m = 38
m = 19
Thus, 19 cars and 19 motorcycles participated in the ride.
