One more math questions

Question

A car has 4 wheels and a motorcycle has 2wheels. There are 12 cars and motorcycles in a car park. Mary counted that there is a total of 38 wheels.

a) How many cars are there in the car park?

(b) 3 more cars parked in the car park. How many cars wheels are there in the car park now?

Answer 1

This is a system of equations problem where you want to create 2 equations from the information given. Equation 1 is easy, it's the number of cars and motorcycles in the car park.

C + M = 12

The second equation involves the number of wheels on each of the vehicles. We know cars have 4 wheels and motorcycles have 2 wheels. So the second equation is going to be:

4c + 2m = 38, where the 38 is from the number of wheels Mary counted in the car park.

Your system to solve for is: C + M = 12

4C + 2M = 38 Use the substitution or elimination method to solve the system.