Question

In a parking lot there are motorcycles and cars. You count 98 wheels, and your friend counts 30 vehicles. How many cares are there? How many motorcycles?

Assign two variables and equations. Please solve.

Answer 1

x ➡ cars 4 wheels
y ➡ motorcycles 2 wheels

4x +2y = 98

x + y = 30
use either substitution or elimination to solve, the answer will be 19 cars and 11 motorcycles.

Answer 2

car normally has 4 wheeles
motorcycles normall have 2 wheels

c=cars
m=motorcycles

4c+2m=98
c+m=30

multiply second equation by -2 and add to the original equaiton

-2c-2m=-60
4c+2m=98 +
2c+0m=38


2c=38
divide 2
c=19
sub

c+m=30
19+m=30
m=11


11 motorcycles
19 cars