Answer:
There are 13 motorcycles and 22 cars
Step-by-step explanation:
Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...
x + y = 35 (there are a total of 35 vehicles)
2x + 4y = 114 (the total number of tires)
Solve the first equation for either variable...
y = 35 - x
Now substitute that value into the other equation and solve...
2x + 4(35 - x) = 114 (y becomes 35 - x)
Now solve...
2x + 140 - 4x = 114
-2x = -26
x = 13 (there are 13 motorcycles)
Now plug that value into either original equation to solve for y...
13 + y = 35
y = 22 (there are 22 cars(
