Question

A Honda dealership sells both motorcycles and cars. There are a total of 200 vehicles on the dealerships lot. The detailer cleaned all the wheels which totaled to 698 wheels. How many motorcycles are there on the lot

Answer 1

There are 51 motorcycles in lot

Solution:

Let "x" be the number of motorcycles

Let "y" be the number of cars

There are a total of 200 vehicles on the dealerships lot

Therefore, we frame a equation as,

number of motorcycles + number of cars = 200

x + y = 200 ---------- eqn 1

The detailer cleaned all the wheels which totaled to 698 wheels

We know that,

In a car there are 4 wheels and in a motorcycle there are 2 wheels

Thus we get,

2x + 4y = 698 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 200 - y -------- eqn 3

Substitute eqn 3 in eqn 2

2(200 - y) + 4y = 698

400 - 2y + 4y = 698

400 + 2y = 698

2y = 698 - 400

2y = 298

y = 149

Substitute y = 149 in eqn 3

x = 200 - 149

x = 51

Thus there are 51 motorcycles in lot