Question

a parking lot contains (2 wheels) and cars (4 wheels). There are 35 vehicles and 114 wheels. How many motorcycles amd cars are there?​

Answer 1

There are 13 motorcycles and 22 cars

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(