Retro rides is a club for owners of vintage cars and motorcycles. every year the club gets together for a ride. this year, 38 vehicles participated in the ride. the total number of tires of all the vehicles was 104. assuming each car has 4 tires and each motorcycle has 2 tires, how many each of cars and motorcycles participated in the ride?

a. 18 cars; 20 motorcycles
b. 14 cars; 24 motorcycles
c. 11 cars; 27 motorcycles
d. 16 cars; 22 motorcycles

OPTION B

Step-by-step explanation:

Let's call:

c: the number of cars.

m: the number of motorcycles.

Based on the given information, you can set up the following system of equations:

You can solve it by the Elimination method:

- Multiply the first equation by -4.

- Add both equations to cancel out the variable "c".

- Solve for "m":

(24 motorcycles)

 - Substitute m=24 into any of the original equations ans solve for "c". Then:

(14 cars)

The answer is:

Option B.

We know that the total of tires of all the vehicles was 104, and there were 38 vehicles with 4 tires and motorcyles with 2 tires, so, we can calculate how many cars and motorcyles participated in the ride using the following equation:

Let x be the cars and y be the motorcyles, so:

and,

So, isolating x in terms of y from the first equation, we have:

Then, substituting "x" into the second equation we have:

Now, substituting "y" into the first equation, we have:

So, there were a total of 14 cars and 24 motorcycles in the ride.

Have a nice day!

(1,-1) i hope this

step-by-step explanation: